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Popular >

simplify (54z)^{2/3}

Solution

simplify

(54 z)^{\frac{2}{3}}

Solution

2^{\frac{2}{3}} \cdot 9 z^{\frac{2}{3}}

Solution steps

(54 z)^{\frac{2}{3}}

Apply exponent rule:

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

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

= 5 4^{\frac{2}{3}} z^{\frac{2}{3}}

5 4^{\frac{2}{3}} = 2^{\frac{2}{3}} \cdot 9

= 2^{\frac{2}{3}} \cdot 9 z^{\frac{2}{3}}

Popular Examples

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\frac{3 m ^{3} - 27 m ^{2}}{2 m ^{2} - 17 m - 9} - \frac{6 m}{20 m ^{2} - 5}

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Frequently Asked Questions (FAQ)

What is (54z)^{2/3} ?
The solution to (54z)^{2/3} is 2^{2/3}*9z^{2/3}