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Popular >

simplify ((2h^2)^3)/(10h^4)

Solution

simplify

\frac{( 2 h ^{2} ) ^{3}}{10 h ^{4}}

Solution

\frac{4 h ^{2}}{5}

Solution steps

\frac{( 2 h ^{2} ) ^{3}}{10 h ^{4}}

Simplify

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

= \frac{2 ^{3} h ^{6}}{10 h ^{4}}

Factor the number:

10 = 2 \cdot 5

= \frac{2 ^{3} h ^{6}}{2 \cdot 5 h ^{4}}

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

= \frac{2 ^{2} h ^{6}}{5 h ^{4}}

Simplify

\frac{h ^{6}}{h ^{4}} : h^{2}

= \frac{2 ^{2} h ^{2}}{5}

2^{2} = 4

= \frac{4 h ^{2}}{5}

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Frequently Asked Questions (FAQ)

What is ((2h^2)^3)/(10h^4) ?
The solution to ((2h^2)^3)/(10h^4) is (4h^2)/5