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Popular >

simplify ((2y^2)^3)/((8y)^2)

Solution

simplify

\frac{( 2 y ^{2} ) ^{3}}{( 8 y ) ^{2}}

Solution

\frac{y ^{4}}{8}

Solution steps

\frac{( 2 y ^{2} ) ^{3}}{( 8 y ) ^{2}}

Simplify

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

= \frac{2 ^{3} y ^{6}}{( 8 y ) ^{2}}

Apply exponent rule:

(a \cdot b)^{n} = a^{n} b^{n}

(8 y)^{2} = 8^{2} y^{2}

= \frac{2 ^{3} y ^{6}}{8 ^{2} y ^{2}}

Factor

8^{2} : 2^{6}

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

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

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

Simplify

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

= \frac{y ^{4}}{2 ^{3}}

2^{3} = 8

= \frac{y ^{4}}{8}

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Frequently Asked Questions (FAQ)

What is ((2y^2)^3)/((8y)^2) ?
The solution to ((2y^2)^3)/((8y)^2) is (y^4)/8