What is ((2g^5)^3)/((4h^2)^3) ?

The solution to ((2g^5)^3)/((4h^2)^3) is (g^{15})/(8h^6)

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simplify ((2g^5)^3)/((4h^2)^3)

simplify

\frac{( 2 g ^{5} ) ^{3}}{( 4 h ^{2} ) ^{3}}

\frac{g ^{15}}{8 h ^{6}}

Solution steps

\frac{( 2 g ^{5} ) ^{3}}{( 4 h ^{2} ) ^{3}}

Simplify

(2 g^{5})^{3} : 2^{3} g^{15}

= \frac{2 ^{3} g ^{15}}{( 4 h ^{2} ) ^{3}}

Simplify

(4 h^{2})^{3} : 4^{3} h^{6}

= \frac{2 ^{3} g ^{15}}{4 ^{3} h ^{6}}

Factor

4^{3} : 2^{6}

= \frac{2 ^{3} g ^{15}}{2 ^{6} h ^{6}}

\frac{2 ^{3}}{2 ^{6}} = \frac{1}{2 ^{3}}

= \frac{g ^{15}}{2 ^{3} h ^{6}}

2^{3} = 8

= \frac{g ^{15}}{8 h ^{6}}

- ln (0.1)

(z + 3)^{2} = - 10

9^{- \frac{3}{2}}

2 \cdot \frac{5}{12}

- 2 (2 x - 3) = 3 (x + 1) + 10

What is ((2g^5)^3)/((4h^2)^3) ?
The solution to ((2g^5)^3)/((4h^2)^3) is (g^{15})/(8h^6)