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प्रश्न
Find the value of the following:
(30 + 4−1) × 22
उत्तर
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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संबंधित प्रश्न
Find the value of the following:
3−1 + 4−1
Simplify:
Write the following in exponential form:
\[\left( \frac{2}{5} \right)^{- 2} \times \left( \frac{2}{5} \right)^{- 2} \times \left( \frac{2}{5} \right)^{- 2}\]
Express the following rational numbers with a negative exponent:
Express the following rational numbers with a positive exponent:
Simplify:
Which of the following is not equal to \[\left( \frac{- 3}{5} \right)^4 ?\]
Which of the following numbers is not equal to \[\frac{- 8}{27}?\]
(a) \[\left( \frac{2}{3} \right)^{- 3}\]
(b) \[- \left( \frac{2}{3} \right)^3\]
(c) \[\left( - \frac{2}{3} \right)^3\]
(d) \[\left( \frac{- 2}{3} \right) \times \left( \frac{- 2}{3} \right) \times \left( \frac{- 2}{3} \right)\]
Find the value of (2−1 × 4−1) ÷2−2.
