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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
Evaluate.
(−4)−2
Find the value of the following:
3−1 + 4−1
Simplify:
Simplify:
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 rational numbers with a negative exponent:
Find x, if \[\left( \frac{1}{4} \right)^{- 4} \times \left( \frac{1}{4} \right)^{- 8} = \left( \frac{1}{4} \right)^{- 4x}\]
Find x, if
Cube of \[\frac{- 1}{2}\] is
For a non zero rational number a, (a3)−2 is equal to
