What is ((27a^4)/(8a))^{2/3} ?

The solution to ((27a^4)/(8a))^{2/3} is (9a^2)/4

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simplify ((27a^4)/(8a))^{2/3}

simplify

(\frac{27 a ^{4}}{8 a})^{\frac{2}{3}}

\frac{9 a ^{2}}{4}

Solution steps

(\frac{27 a ^{4}}{8 a})^{\frac{2}{3}}

Apply exponent rule:

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

= \frac{( 27 a ^{4} ) ^{\frac{2}{3}}}{( 8 a ) ^{\frac{2}{3}}}

Simplify

(27 a^{4})^{\frac{2}{3}} : 9 a^{\frac{8}{3}}

= \frac{9 a ^{\frac{8}{3}}}{( 8 a ) ^{\frac{2}{3}}}

Simplify

(8 a)^{\frac{2}{3}} : 4 a^{\frac{2}{3}}

= \frac{9 a ^{\frac{8}{3}}}{4 a ^{\frac{2}{3}}}

Apply exponent rule:

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

\frac{a ^{\frac{8}{3}}}{a ^{\frac{2}{3}}} = a^{\frac{8}{3} - \frac{2}{3}}

= \frac{9 a ^{\frac{8}{3} - \frac{2}{3}}}{4}

Subtract the numbers:

\frac{8}{3} - \frac{2}{3} = 2

= \frac{9 a ^{2}}{4}

9 x^{2} + 4 x - 2 = 0

\frac{3 m ^{3} n ^{2}}{8 m ^{9} n ^{12}}

3^{k - 1} + 3^{k}

- 1 - 7 m = - 8 m + 7

41.8 (x - 2.7) + \frac{1}{2} 9.8 (x^{2} - (x - 2.7)) = 89