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Popular >

simplify ((8b^4)/(4b^2))^3

Solution

simplify

(\frac{8 b ^{4}}{4 b ^{2}})^{3}

Solution

8 b^{6}

Solution steps

(\frac{8 b ^{4}}{4 b ^{2}})^{3}

Apply exponent rule:

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

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

Simplify

(8 b^{4})^{3} : 512 b^{12}

= \frac{512 b ^{12}}{( 4 b ^{2} ) ^{3}}

Simplify

(4 b^{2})^{3} : 64 b^{6}

= \frac{512 b ^{12}}{64 b ^{6}}

Divide the numbers:

\frac{512}{64} = 8

= \frac{8 b ^{12}}{b ^{6}}

Apply exponent rule:

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

\frac{b ^{12}}{b ^{6}} = b^{12 - 6}

= 8 b^{12 - 6}

Subtract the numbers:

12 - 6 = 6

= 8 b^{6}

Popular Examples

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simplify (4^5)/(4^{-2)}simplify

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

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Frequently Asked Questions (FAQ)

What is ((8b^4)/(4b^2))^3 ?
The solution to ((8b^4)/(4b^2))^3 is 8b^6