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Simplify.
Rewrite the expression in the form 5^(n).
(5^(10))/(5^(12))=◻

Simplify. $\newline$ Rewrite the expression in the form $5^n$ . $\newline$ $\frac{5^{10}}{5^{12}}$ = $\square$

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Multiplication with rational exponents

Full solution

Q. Simplify.

\newline

Rewrite the expression in the form

5^n

.

\newline

\frac{5^{10}}{5^{12}}

=

\square

Understand the problem: Understand the problem. $\newline$ We need to simplify the expression $\frac{5^{10}}{5^{12}}$ and rewrite it in the form of $5^{n}$ .
Apply quotient rule: Apply the quotient rule for exponents. $\newline$ The quotient rule states that when dividing like bases with exponents, you subtract the exponents: $a^{m}/a^{n} = a^{m-n}$ .
Subtract exponents: Subtract the exponents. $\newline$ $(5^{10})/(5^{12}) = 5^{10-12} = 5^{-2}$ .
Write final answer: Write the final answer. $\newline$ The expression simplifies to $5^{-2}$ .

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