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Popular >

expand ((5x^2)/3)^4

Solution

expand

(\frac{5 x ^{2}}{3})^{4}

Solution

\frac{625 x ^{8}}{81}

Solution steps

(\frac{5 x ^{2}}{3})^{4}

Apply exponent rule:

(\frac{a}{b})^{c} = \frac{a ^{c}}{b ^{c}}

= \frac{( 5 x ^{2} ) ^{4}}{3 ^{4}}

Apply exponent rule:

(a \cdot b)^{n} = a^{n} b^{n}

(5 x^{2})^{4} = 5^{4} (x^{2})^{4}

= \frac{5 ^{4} ( x ^{2} ) ^{4}}{3 ^{4}}

(x^{2})^{4} : x^{8}

= \frac{5 ^{4} x ^{8}}{3 ^{4}}

Refine

= \frac{625 x ^{8}}{81}

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Frequently Asked Questions (FAQ)

What is expand ((5x^2)/3)^4 ?
The solution to expand ((5x^2)/3)^4 is (625x^8)/(81)