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Popular >

simplify 4k(4/(k^{-2)})^3

Solution

simplify

4 k (\frac{4}{k ^{- 2}})^{3}

Solution

256 k^{7}

Solution steps

4 k (\frac{4}{k ^{- 2}})^{3}

Simplify

(\frac{4}{k ^{- 2}})^{3} : 64 k^{6}

= 4 k \cdot 64 k^{6}

Multiply the numbers:

4 \cdot 64 = 256

= 256 k k^{6}

Apply exponent rule:

a^{b} \cdot a^{c} = a^{b + c}

k k^{6} = k^{1 + 6}

= 256 k^{1 + 6}

Add the numbers:

1 + 6 = 7

= 256 k^{7}

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Frequently Asked Questions (FAQ)

What is 4k(4/(k^{-2)})^3 ?
The solution to 4k(4/(k^{-2)})^3 is 256k^7