Select the equivalent expression. (x^(8))/(x^(4)*x^(4)) (1)/(x^(8)) x^(8) 1 x

Understand the problem: Understand the problem. We need to simplify the expression (x^(8))/(x^(4)*x^(4)) to find its equivalent form.Apply exponent rule for division: Apply the exponent rule for division. When dividing like bases with exponents, we subtract the exponents: a^(m)/a^(n) = a^(m-n).Apply exponent rule for multiplication: Apply the exponent rule for multiplication. When multiplying like bases with exponents, we add the exponents: a^(m) * a^(n) = a^(m+n).Simplify the denominator: Simplify the denominator using the multiplication rule from Step 3. x^(4)*x^(4) = x^(4+4) = x^(8).Apply division rule: Apply the division rule from Step 2 to the original expression. (x^(8))/(x^(8)) = x^(8-8) = x^(0).Recall power of zero: Recall that any non-zero number raised to the power of 0 is 1. x^(0) = 1.

Resources

Testimonials

Plans

Resources

Testimonials

Plans

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Select the equivalent expression.

(x^(8))/(x^(4)*x^(4))

(1)/(x^(8))

x^(8)
1

x

Select the equivalent expression. $\newline$ $\frac{x^{8}}{x^{4} \cdot x^{4}}$ $\newline$ $\frac{1}{x^{8}}$ $\newline$ $x^{8}$ $\newline$ $1$ $\newline$ $x$

View step-by-step help

Home

Math Problems

Algebra 1

Multiplication with rational exponents

Full solution

Q. Select the equivalent expression.

\newline

\frac{x^{8}}{x^{4} \cdot x^{4}}

\newline

\frac{1}{x^{8}}

\newline

x^{8}

\newline

1

\newline

x

Understand the problem: Understand the problem. $\newline$ We need to simplify the expression $(x^{8})/(x^{4}\cdot x^{4})$ to find its equivalent form.
Apply exponent rule for division: Apply the exponent rule for division. $\newline$ When dividing like bases with exponents, we subtract the exponents: $a^{m}/a^{n} = a^{m-n}$ .
Apply exponent rule for multiplication: Apply the exponent rule for multiplication. When multiplying like bases with exponents, we add the exponents: $a^{m} \times a^{n} = a^{m+n}$ .
Simplify the denominator: Simplify the denominator using the multiplication rule from Step $3$ . $x^{4}\times x^{4} = x^{4+4} = x^{8}.$
Apply division rule: Apply the division rule from Step $2$ to the original expression. $\newline$ $(x^{8})/(x^{8}) = x^{8-8} = x^{0}$ .
Recall power of zero: Recall that any non-zero number raised to the power of $0$ is $1$ . $\newline$ $x^{0} = 1$ .