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Popular >

simplify ((5-1)/((2x)))^3

Solution

simplify

(\frac{5 - 1}{( 2 x )})^{3}

Solution

\frac{8}{x ^{3}}

Solution steps

(\frac{5 - 1}{2 x})^{3}

Apply exponent rule:

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

= \frac{( 5 - 1 ) ^{3}}{( 2 x ) ^{3}}

(5 - 1)^{3} = 64

= \frac{64}{( 2 x ) ^{3}}

Simplify

(2 x)^{3} : 8 x^{3}

= \frac{64}{8 x ^{3}}

Divide the numbers:

\frac{64}{8} = 8

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

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Frequently Asked Questions (FAQ)

What is ((5-1)/((2x)))^3 ?
The solution to ((5-1)/((2x)))^3 is 8/(x^3)