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प्रश्न
Find the value of the following:
(3−1 + 4−1 + 5−1)0
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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:
\[( 3^{- 1} + 4^{- 1} + 5^{- 1} ) = 1\] `->`(Ignore the expression inside the bracket and use a0= 1 immediately.)
संबंधित प्रश्न
Express the following as a rational number of the form \[\frac{p}{q},\] where p and q are integers and q ≠ 0.
Find the value of the following:
\[\left\{ \left( \frac{1}{3} \right)^{- 1} - \left( \frac{1}{4} \right)^{- 1} \right\}^{- 1}\]
Evaluate:
\[\left( \frac{1}{3} \right)^{- 4}\]
Express the following as a rational number in the form \[\frac{p}{q}:\]
Simplify:
\[\left\{ 3^{- 1} \times 4^{- 1} \right\}^{- 1} \times 5^{- 1}\]
Simplify:
Find x, if
For a non zero rational number a, (a3)−2 is equal to
Expand the following numbers using exponents.
1256.249
The expression for 4–3 as a power with the base 2 is 26.
