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Popular >

simplify ((2x^4)/(3x))^3

Solution

simplify

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

Solution

\frac{8 x ^{9}}{27}

Solution steps

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

Apply exponent rule:

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

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

Simplify

(2 x^{4})^{3} : 8 x^{12}

= \frac{8 x ^{12}}{( 3 x ) ^{3}}

Simplify

(3 x)^{3} : 27 x^{3}

= \frac{8 x ^{12}}{27 x ^{3}}

Apply exponent rule:

\frac{x ^{a}}{x ^{b}} = x^{a - b}

\frac{x ^{12}}{x ^{3}} = x^{12 - 3}

= \frac{8 x ^{12 - 3}}{27}

Subtract the numbers:

12 - 3 = 9

= \frac{8 x ^{9}}{27}

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24 r + 16 \leq 1000

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\frac{1}{5} + 3

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- 2 u^{2} - 3 u + 9

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Frequently Asked Questions (FAQ)

What is ((2x^4)/(3x))^3 ?
The solution to ((2x^4)/(3x))^3 is (8x^9)/(27)