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HomeGRE › Quantitative Reasoning › Evaluate $\frac{5^7}{5^4}$.

Evaluate $\frac{5^7}{5^4}$.

A$125$
B$5^{11}$
C$1$
D$25$
Answer & Solution
Correct answer: A. $125$
Apply the quotient rule $x^a/x^b = x^{a-b}$: $5^7/5^4 = 5^{7-4} = 5^3 = 125$. Option B adds the exponents instead of subtracting. Option D would be $5^2$ rather than $5^3$.
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