Question

Find the value of the following:
(3⁰ + 4⁻¹) × 2²

Answer 1

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:
\[\left( 3^0 + 4^{- 1} \right) \times 2^2 \]
\[ = \left( 1 + \frac{1}{4} \right) \times 4 \left[ as, a^{- 1} = \frac{1}{a}; a^0 = 1 \right]\]
\[ = \frac{5}{4} \times 4\]
\[ = 5\]