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प्रश्न
Evaluate.
`(1/2)^(-5)`
मूल्यांकन
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उत्तर
`(1/2)^(-5) = (2/1)^5` ...`[∵ (1/b)^-m = (b/a)^m]`
= `(2 xx2 xx 2xx2xx 2)/(1 xx 1xx 1xx 1xx1)`
= `32/1`
= 32
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पाठ 10: Exponents and Powers - EXERCISE 10.1 [पृष्ठ १२५]
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संबंधित प्रश्न
Find the value of m for which 5m ÷5−3 = 55.
Simplify:
\[\left( 2^2 + 3^2 - 4^2 \right) \div \left( \frac{3}{2} \right)^2\]
Evaluate:
5−2
Simplify:
\[\left( 2^{- 1} + 3^{- 1} \right)^{- 1}\]
Express the following rational numbers with a negative exponent:
\[\left\{ \left( \frac{3}{2} \right)^4 \right\}^{- 3}\]
Express the following rational numbers with a positive exponent:
\[\left( \frac{3}{4} \right)^{- 2}\]
Simplify:
\[\left\{ \left( \frac{1}{2} \right)^{- 1} \times ( - 4 )^{- 1} \right\}^{- 1}\]
Simplify:
\[\left[ \left\{ \left( \frac{- 1}{4} \right)^2 \right\}^{- 2} \right]^{- 1}\]
Find x, if
\[\left( \frac{2}{5} \right)^{- 3} \times \left( \frac{2}{5} \right)^{15} = \left( \frac{2}{5} \right)^{2 + 3x}\]
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) \[\left( \frac{- 2}{3} \right) \times \left( \frac{- 2}{3} \right) \times \left( \frac{- 2}{3} \right)\]
