Which expression is equivalent to (5^(-6))/(5^(-4))×5^(-4) ? 25^(-6) 5^(8) 25^(8) 5^(-6)

Simplify Expression: Simplify the expression (5^(-6))/(5^(-4))×5^(-4). We will use the property of exponents that states when we divide two powers with the same base, we subtract the exponents. Then we will multiply the result by 5^(-4). (5^(-6))/(5^(-4))×5^(-4) = 5^(-6 - (-4)) × 5^(-4) = 5^(-6 + 4) × 5^(-4) = 5^(-2) × 5^(-4)Use Exponent Property: Continue simplifying the expression. Now we will use the property of exponents that states when we multiply two powers with the same base, we add the exponents. 5^(-2) × 5^(-4) = 5^(-2 + (-4)) = 5^(-6)

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Which expression is equivalent to
(5^(-6))/(5^(-4))×5^(-4) ?

25^(-6)

5^(8)

25^(8)

5^(-6)

Which expression is equivalent to $\frac{5^{-6}}{5^{-4}} \times 5^{-4}$ ? $\newline$ $25^{-6}$ $\newline$ $5^{8}$ $\newline$ $25^{8}$ $\newline$ $5^{-6}$

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Math Problems

Algebra 1

Multiplication with rational exponents

Full solution

Q. Which expression is equivalent to

\frac{5^{-6}}{5^{-4}} \times 5^{-4}

\newline

25^{-6}

\newline

5^{8}

\newline

25^{8}

\newline

5^{-6}

Simplify Expression: Simplify the expression $(5^{-6})/(5^{-4})\times5^{-4}$ . $\newline$ We will use the property of exponents that states when we divide two powers with the same base, we subtract the exponents. Then we will multiply the result by $5^{-4}$ . $\newline$ $(5^{-6})/(5^{-4})\times5^{-4} = 5^{-6 - (-4)} \times 5^{-4}$ $\newline$ $= 5^{-6 + 4} \times 5^{-4}$ $\newline$ $= 5^{-2} \times 5^{-4}$
Use Exponent Property: Continue simplifying the expression. $\newline$ Now we will use the property of exponents that states when we multiply two powers with the same base, we add the exponents. $\newline$ $5^{-2} \times 5^{-4} = 5^{-2 + (-4)}$ $\newline$ $= 5^{-6}$