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प्रश्न
Simplify and express the result in power notation with positive exponent.
`(−3)^4 × (5/3)^4`
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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.
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 as a rational number in the form \[\frac{p}{q}:\]
Express the following rational numbers with a positive exponent:
By what number should 5−1 be multiplied so that the product may be equal to (−7)−1?
By what number should (−15)−1 be divided so that the quotient may be equal to (−5)−1?
if \[x = \left( \frac{3}{2} \right)^2 \times \left( \frac{2}{3} \right)^{- 4}\], find the value of x−2.
Which of the following is not equal to \[\left( \frac{- 3}{5} \right)^4 ?\]
Find the multiplicative inverse of the following.
2– 4
The multiplicative inverse of `(3/2)^2` is not equal to `(2/3)^-2`.
