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Question

1(3)3273\frac{1}{-(-3)^{-3}}-\sqrt[3]{-27}

Solution

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Answered 2 years ago
Answered 2 years ago
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In solving this, recall exponent rule:

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

1(3)3273Given=1(3)3(3)Evaluate the cube root=1271+3Evaluate the exponent=27+3Apply exponent rule=30\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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