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$(1^{3} + 2^{3} + 3^{3} + 4^{3})^{- 3 / 2} =$ ______.

10^{- 3}

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10^{- 2}

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10^{- 4}

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10^{- 1}

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Solution

The correct option is A $10^{- 3}$
$(1^{3} + 2^{3} + 3^{3} + 4^{3})^{\frac{- 3}{2}}$
$\Rightarrow (1 + 8 + 27 + 64)^{\frac{- 3}{2}}$
$\Rightarrow (100)^{\frac{- 3}{2}}$
$\Rightarrow (10^{2})^{\frac{- 3}{2}}$
$\Rightarrow 10^{- 3}$

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Similar questions

(1^{3} + 2^{3} + 3^{3} + 4^{3})^{- 3 / 2}

Evaluate $(1^{3} + 2^{3} + 3^{3} + 4^{3})^{\frac{- 3}{2}} .$

Evaluate:- $(1^{3} + 2^{3} + 3^{3} + 4^{3})^{\frac{- 3}{2}}$

1^{3} + 2^{3} + \frac{3^{3}}{⌊ 2} + \frac{4^{3}}{⌊ 3} + \frac{5^{3}}{⌊ 4} + . . . .

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