Question

2 to the power _1 +3 to the power_1 whole to the power 3
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Answer 1

The value of the expression is $\frac{125}{216}$.

Step-by-step explanation:

The expression is:

$[2^{-1}+3^{-1}]^{3}$

Compute the value of the expression as follows:

$[2^{-1}+3^{-1}]^{3}=[\frac{1}{2}+\frac{1}{3}]^{3}$

$=[\frac{3+2}{3}]^{3}$

$=(\frac{5}{6})^{6}$

$=\frac{125}{216}$

Thus, the value of the expression is $\frac{125}{216}$.

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