The correct option is C (3)^4/(5)^4By the Laws of Exponents, we know that (a/b)^m=(a)^m/(b)^m ⇒(3/5)^4=(3)^4/(5)^4 ...

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Dividing Terms with the Same Exponent

Simplify 3/54

Question

Simplify $(\frac{3}{5})^{4}$

(\frac{3}{5})^{5}

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\frac{3}{(5)^{4}}

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\frac{(3)^{4}}{(5)^{4}}

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\frac{(3)^{3}}{(5)^{4}}

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Solution

The correct option is C $\frac{(3)^{4}}{(5)^{4}}$
By the Laws of Exponents, we know that $(\frac{a}{b})^{m} = \frac{(a)^{m}}{(b)^{m}}$
$\Rightarrow$ $(\frac{3}{5})^{4} = \frac{(3)^{4}}{(5)^{4}}$

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