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Question

# $\frac{1}{-(-3)^{-3}}-\sqrt[3]{-27}$

Solution

Verified
Step 1
1 of 2

In solving this, recall exponent rule:

$\dfrac{1}{a^{-b}}=a^b$

\begin{align*} &\Rightarrow \dfrac{1}{-(-3)^{-3}}-\sqrt[3]{27} && \text{Given}\\ &=\dfrac{1}{-(-3)^{-3}}-(-3) && \text{Evaluate the cube root}\\ &=\dfrac{1}{27^{-1}}+3 && \text{Evaluate the exponent}\\ &=27+3 && \text{Apply exponent rule}\\ &=\boxed{30} \end{align*}

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