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Question
Find the value of the following:
(30 + 4−1) × 22
Sum
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Solution
We know from the property of powers that for every natural number a, a−1 = 1/a.
Moreover, a0 is 1 for every natural number a not equal to 0. Then:
\[\left( 3^0 + 4^{- 1} \right) \times 2^2 \]
\[ = \left( 1 + \frac{1}{4} \right) \times 4 \left[ as, a^{- 1} = \frac{1}{a}; a^0 = 1 \right]\]
\[ = \frac{5}{4} \times 4\]
\[ = 5\]
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