Simplify. Rewrite the expression in the form 5^(n). (5^(-5))/(5^(8))=

Apply Rule for Dividing Powers: We have the expression (5^(-5))/(5^(8)). When dividing powers with the same base, we subtract the exponents. Calculation: (-5) - (8) = -13Calculate Exponents: Rewrite the expression using the rule for dividing powers with the same base. (5^(-5))/(5^(8)) = 5^(-5 - 8) = 5^(-13)

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Simplify.
Rewrite the expression in the form
5^(n).

(5^(-5))/(5^(8))=

Simplify. $\newline$ Rewrite the expression in the form $\newline$ $5^n$ . $\newline$ $\frac{5^{-5}}{5^8}=$

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Math Problems

Grade 8

Evaluate expressions using properties of exponents

Full solution

Q. Simplify.

\newline

Rewrite the expression in the form

\newline

5^n

\newline

\frac{5^{-5}}{5^8}=

Apply Rule for Dividing Powers: We have the expression $(5^{-5})/(5^{8})$ . $\newline$ When dividing powers with the same base, we subtract the exponents. $\newline$ Calculation: $(-5) - (8) = -13$
Calculate Exponents: Rewrite the expression using the rule for dividing powers with the same base. $\newline$ $(5^{-5})/(5^{8}) = 5^{-5 - 8} = 5^{-13}$