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प्रश्न
Simplify and express the result in power notation with positive exponent.
`(−3)^4 × (5/3)^4`
उत्तर
`(−3)^4 × (5/3)^4`
= `(-1)^4 xx (3)^4 xx (5)^4/(3)^4`
= `3^4/3^4 xx 5^4`
= `3^(4-4) xx 5^4`
= 30 × 54 ...`[∵ a^m/a^n = a^(m-n)]`
= 1 × 54
= (5)4
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:
\[\left\{ \left( \frac{1}{3} \right)^{- 1} - \left( \frac{1}{4} \right)^{- 1} \right\}^{- 1}\]
By what number should \[\left( \frac{1}{2} \right)^{- 1}\] be multiplied so that the product may be equal to \[\left( - \frac{4}{7} \right)^{- 1} ?\]
Evaluate:
\[\left( \frac{1}{3} \right)^{- 4}\]
Express the following rational numbers with a negative exponent:
By what number should (−15)−1 be divided so that the quotient may be equal to (−5)−1?
Find the value of x for which 52x ÷ 5−3 = 55.
The multiplicative inverse of `(3/2)^2` is not equal to `(2/3)^-2`.
Simplify and express the result in power notation with positive exponent.
2−3 × (−7)−3
