What is (2gh^4)^3[(-2g^4h)^3]^2 ?

The solution to (2gh^4)^3[(-2g^4h)^3]^2 is 512g^{27}h^{18}

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simplify (2gh^4)^3[(-2g^4h)^3]^2

simplify

(2 g h^{4})^{3} [(- 2 g^{4} h)^{3}]^{2}

512 g^{27} h^{18}

Solution steps

(2 g h^{4})^{3} ((- 2 g^{4} h)^{3})^{2}

Simplify

(2 g h^{4})^{3} : 8 g^{3} h^{12}

= 8 g^{3} h^{12} ((- 2 g^{4} h)^{3})^{2}

Simplify

((- 2 g^{4} h)^{3})^{2} : 64 g^{24} h^{6}

= 8 g^{3} h^{12} \cdot 64 g^{24} h^{6}

Multiply the numbers:

8 \cdot 64 = 512

= 512 g^{3} h^{12} g^{24} h^{6}

Simplify

g^{3} g^{24} : g^{27}

= 512 g^{27} h^{12} h^{6}

Simplify

h^{12} h^{6} : h^{18}

= 512 g^{27} h^{18}

\frac{3}{20} - \frac{3}{30}

\frac{3}{2 + 3} + \frac{2}{3}

(x^{4})^{- 2}

9 y^{2} - 30 y + 25 = 0

3 (x + 1)^{2} - 1 = 17

What is (2gh^4)^3[(-2g^4h)^3]^2 ?
The solution to (2gh^4)^3[(-2g^4h)^3]^2 is 512g^{27}h^{18}