Question: What is 9 to the 4th power? Want to find the answer to another problem? 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. 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 exponent is the number of times to multiply 10 by itself, which in this case is 4 times. 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. The highest-degree term is the 7x 4, so this is a degree-four polynomial. 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. To find: Simplify completely the quantity. Note: Some instructors will count an answer wrong if the polynomial's terms are completely correct but are not written in descending order. Accessed 12 March, 2023. There is no constant term. What is 9 to the 4th power equals. Each piece of the polynomial (that is, each part that is being added) is called a "term". What is an Exponentiation? This lesson describes powers and roots, shows examples of them, displays the basic properties of powers, and shows the transformation of roots into powers.
Solution: We have given that a statement. Degree: 5. leading coefficient: 2. constant: 9. The exponent on the variable portion of a term tells you the "degree" of that term. The second term is a "first degree" term, or "a term of degree one".
Enter your number and power below and click calculate. 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. Note: If one were to be very technical, one could say that the constant term includes the variable, but that the variable is in the form " x 0 ". 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". For instance, the power on the variable x in the leading term in the above polynomial is 2; this means that the leading term is a "second-degree" term, or "a term of degree two". What is 9 to the ninth power. Here are some random calculations for you: 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". The "poly-" prefix in "polynomial" means "many", from the Greek language. There is a term that contains no variables; it's the 9 at the end. 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. Or skip the widget and continue with the lesson.
This polynomial has three terms: a second-degree term, a fourth-degree term, and a first-degree term. 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. 2(−27) − (+9) + 12 + 2. However, the shorter polynomials do have their own names, according to their number of terms. Evaluating Exponents and Powers. 10 to the Power of 4. Feel free to share this article with a friend if you think it will help them, or continue on down to find some more examples. PLEASE HELP! MATH Simplify completely the quantity 6 times x to the 4th power plus 9 times x to the - Brainly.com. 12x over 3x.. On dividing we get,. 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. When the terms are written so the powers on the variables go from highest to lowest, this is called being written "in descending order".
I'll plug in a −2 for every instance of x, and simplify: (−2)5 + 4(−2)4 − 9(−2) + 7. For an expression to be a polynomial term, any variables in the expression must have whole-number powers (or else the "understood" power of 1, as in x 1, which is normally written as x). Then click the button to compare your answer to Mathway's. −32) + 4(16) − (−18) + 7. Cite, Link, or Reference This Page. Learn more about this topic: fromChapter 8 / Lesson 3. 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. Notice also that the powers on the terms started with the largest, being the 2, on the first term, and counted down from there. AS paper: Prove every prime > 5, when raised to 4th power, ends in 1. Polynomial are sums (and differences) of polynomial "terms". 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. Retrieved from Exponentiation Calculator. 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. Click "Tap to view steps" to be taken directly to the Mathway site for a paid upgrade.
The caret is useful in situations where you might not want or need to use superscript. If the variable in a term is multiplied by a number, then this number is called the "coefficient" (koh-ee-FISH-int), or "numerical coefficient", of the term. "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. 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.
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