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प्रश्न
Simplify:
\[\left( 3^2 - 2^2 \right) \times \left( \frac{2}{3} \right)^{- 3}\]
बेरीज
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उत्तर
\[\left( 3^2 - 2^2 \right) \times \left( \frac{2}{3} \right)^{- 3}\] `=(9-4)xx1/(2/3)^3` `->(a^(-1)=1/a^n)`
`=5xx1/(8/27)` `->((a/b)^n=(a^n)/(b^n))`
`5xx27/8`
`=135/8`
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संबंधित प्रश्न
Simplify and express the result in power notation with positive exponent.
(−4)5 ÷ (−4)8
Simplify:
\[\left[ \left( \frac{1}{3} \right)^{- 3} - \left( \frac{1}{2} \right)^{- 3} \right] \div \left( \frac{1}{4} \right)^{- 3}\]
Evaluate:
\[\left( \frac{1}{3} \right)^{- 4}\]
Evaluate:
\[\left( \frac{- 1}{2} \right)^{- 1}\]
Express the following rational numbers with a positive exponent:
\[\left( \frac{5}{4} \right)^{- 3}\]
Simplify:
\[\left\{ \left( \frac{1}{3} \right)^{- 3} - \left( \frac{1}{2} \right)^{- 3} \right\} \div \left( \frac{1}{4} \right)^{- 3}\]
Simplify:
\[\left\{ \left( \frac{2}{3} \right)^2 \right\}^3 \times \left( \frac{1}{3} \right)^{- 4} \times 3^{- 1} \times 6^{- 1}\]
if \[x = \left( \frac{3}{2} \right)^2 \times \left( \frac{2}{3} \right)^{- 4}\], find the value of x−2.
If \[x = \left( \frac{4}{5} \right)^{- 2} \div \left( \frac{1}{4} \right)^2\], find the value of x−1.
Simplify and express the result in power notation with positive exponent.
`(−3)^4 × (5/3)^4`
