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# Math

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What is 3/2 to the 3rd power?

Guest Sep 12, 2018
#1
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One of the laws of exponents state that:
$$(\frac{a}{b})^x = \frac{a^x}{b^x}$$
With that in mind,

$$(\frac{3}{2})^3 = \frac{3^3}{2^3} = \frac{27}{8}$$

Guest Sep 12, 2018
#2
+19990
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What is 3/2 to the 3rd power?

$$\begin{array}{|rcll|} \hline && \mathbf{ \left(\dfrac32 \right)^3 } \\\\ &=& \left(\dfrac32 \right)\cdot \left(\dfrac32 \right)\cdot \left(\dfrac32 \right) \\\\ &=& \dfrac{3\cdot 3\cdot 3 } {2\cdot 2 \cdot 2} \\\\ &=& \dfrac{27} {8} \\\\ &\mathbf{=}& \mathbf{3.375} \\ \hline \end{array}$$

heureka  Sep 12, 2018