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Popular >

simplify ((2x)/3)^4

Solution

simplify

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

Solution

\frac{16 x ^{4}}{81}

Solution steps

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

Apply exponent rule:

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

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

Simplify

(2 x)^{4} : 16 x^{4}

= \frac{16 x ^{4}}{3 ^{4}}

3^{4} = 81

= \frac{16 x ^{4}}{81}

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Frequently Asked Questions (FAQ)

What is ((2x)/3)^4 ?
The solution to ((2x)/3)^4 is (16x^4)/(81)