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Enter your number and power below and click calculate. Question: What is 9 to the 4th power? Step-by-step explanation: Given: quantity 6 times x to the 4th power plus 9 times x to the 2nd power plus 12 times x all over 3 times x. If you made it this far you must REALLY like exponentiation! Polynomials are sums of these "variables and exponents" expressions. What is 4 to the 4th power. That might sound fancy, but we'll explain this with no jargon!

9 Times 10 To The 4Th Power

To find: Simplify completely the quantity. In this article we'll explain exactly how to perform the mathematical operation called "the exponentiation of 10 to the power of 4". Hopefully this article has helped you to understand how and why we use exponentiation and given you the answer you were originally looking for. What is an Exponentiation? I'll plug in a −2 for every instance of x, and simplify: (−2)5 + 4(−2)4 − 9(−2) + 7. "Evaluating" a polynomial is the same as evaluating anything else; that is, you take the value(s) you've been given, plug them in for the appropriate variable(s), and simplify to find the resulting value. So you want to know what 10 to the 4th power is do you? 2(−27) − (+9) + 12 + 2. Note: Some instructors will count an answer wrong if the polynomial's terms are completely correct but are not written in descending order. However, the shorter polynomials do have their own names, according to their number of terms. Also, this term, though not listed first, is the actual leading term; its coefficient is 7. PLEASE HELP! MATH Simplify completely the quantity 6 times x to the 4th power plus 9 times x to the - Brainly.com. degree: 4. leading coefficient: 7. constant: none. The first term has an exponent of 2; the second term has an "understood" exponent of 1 (which customarily is not included); and the last term doesn't have any variable at all, so exponents aren't an issue.

So basically, you'll either see the exponent using superscript (to make it smaller and slightly above the base number) or you'll use the caret symbol (^) to signify the exponent. 10 to the Power of 4. In the expression x to the nth power, denoted x n, we call n the exponent or power of x, and we call x the base. What is 9 to the 4th power supply. So prove n^4 always ends in a 1. So What is the Answer? Polynomials are usually written in descending order, with the constant term coming at the tail end.

What Is 4 To The 4Th Power

This lesson describes powers and roots, shows examples of them, displays the basic properties of powers, and shows the transformation of roots into powers. In particular, for an expression to be a polynomial term, it must contain no square roots of variables, no fractional or negative powers on the variables, and no variables in the denominators of any fractions. Polynomials: Their Terms, Names, and Rules Explained. Here are some examples: To create a polynomial, one takes some terms and adds (and subtracts) them together. The "-nomial" part might come from the Latin for "named", but this isn't certain. ) Well, it makes it much easier for us to write multiplications and conduct mathematical operations with both large and small numbers when you are working with numbers with a lot of trailing zeroes or a lot of decimal places. Prove that every prime number above 5 when raised to the power of 4 will always end in a 1. n is a prime number.

Yes, the prefix "quad" usually refers to "four", as when an atv is referred to as a "quad bike", or a drone with four propellers is called a "quad-copter". If there is no number multiplied on the variable portion of a term, then (in a technical sense) the coefficient of that term is 1. The second term is a "first degree" term, or "a term of degree one". Try the entered exercise, or type in your own exercise. You can use the Mathway widget below to practice evaluating polynomials. Solution: We have given that a statement. So the "quad" for degree-two polynomials refers to the four corners of a square, from the geometrical origins of parabolas and early polynomials. The first term in the polynomial, when that polynomial is written in descending order, is also the term with the biggest exponent, and is called the "leading" term. Calculating exponents and powers of a number is actually a really simple process once we are familiar with what an exponent or power represents. The caret is useful in situations where you might not want or need to use superscript. 9 times 10 to the 4th power. Why do we use exponentiations like 104 anyway? −32) + 4(16) − (−18) + 7.

What Is 9 To The 4Th Power Supply

To find x to the nth power, or x n, we use the following rule: - x n is equal to x multiplied by itself n times. When we talk about exponentiation all we really mean is that we are multiplying a number which we call the base (in this case 10) by itself a certain number of times. Evaluating Exponents and Powers. By now, you should be familiar with variables and exponents, and you may have dealt with expressions like 3x 4 or 6x. The 6x 2, while written first, is not the "leading" term, because it does not have the highest degree. AS paper: Prove every prime > 5, when raised to 4th power, ends in 1. Random List of Exponentiation Examples. This polynomial has four terms, including a fifth-degree term, a third-degree term, a first-degree term, and a term containing no variable, which is the constant term.

There are names for some of the polynomials of higher degrees, but I've never heard of any names being used other than the ones I've listed above. Now that we've explained the theory behind this, let's crunch the numbers and figure out what 10 to the 4th power is: 10 to the power of 4 = 104 = 10, 000. Hi, there was this question on my AS maths paper and me and my class cannot agree on how to answer it... it went like this. In any polynomial, the degree of the leading term tells you the degree of the whole polynomial, so the polynomial above is a "second-degree polynomial", or a "degree-two polynomial". The highest-degree term is the 7x 4, so this is a degree-four polynomial. There is no constant term. I don't know if there are names for polynomials with a greater numbers of terms; I've never heard of any names other than the three that I've listed. Another word for "power" or "exponent" is "order". According to question: 6 times x to the 4th power =. Notice also that the powers on the terms started with the largest, being the 2, on the first term, and counted down from there. Each piece of the polynomial (that is, each part that is being added) is called a "term". There is a term that contains no variables; it's the 9 at the end.

Then click the button and scroll down to select "Find the Degree" (or scroll a bit further and select "Find the Degree, Leading Term, and Leading Coefficient") to compare your answer to Mathway's. Th... See full answer below. Here is a typical polynomial: Notice the exponents (that is, the powers) on each of the three terms. This polynomial has three terms: a second-degree term, a fourth-degree term, and a first-degree term. The exponent on the variable portion of a term tells you the "degree" of that term. 12x over 3x.. On dividing we get,. The largest power on any variable is the 5 in the first term, which makes this a degree-five polynomial, with 2x 5 being the leading term. I suppose, technically, the term "polynomial" should refer only to sums of many terms, but "polynomial" is used to refer to anything from one term to the sum of a zillion terms. Because there is no variable in this last term, it's value never changes, so it is called the "constant" term.

Then click the button to compare your answer to Mathway's. The variable having a power of zero, it will always evaluate to 1, so it's ignored because it doesn't change anything: 7x 0 = 7(1) = 7.

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