Advertisements
Advertisements
प्रश्न
Simplify and express the result in power notation with positive exponent.
`(−3)^4 × (5/3)^4`
Advertisements
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
APPEARS IN
संबंधित प्रश्न
Evaluate.
(−4)−2
Evaluate.
`{(1/3)^(-1) - (1/4)^(-1)}^(-1)`
Find the value of the following:
(30 + 4−1) × 22
Simplify:
\[\left( 3^{- 1} \times 4^{- 1} \right)^{- 1} \times 5^{- 1}\]
Simplify:
Simplify:
\[\left\{ 3^{- 1} \times 4^{- 1} \right\}^{- 1} \times 5^{- 1}\]
Simplify:
\[\left( 4^{- 1} - 5^{- 1} \right) \div 3^{- 1}\]
By what number should \[\left( \frac{1}{2} \right)^{- 1}\] be multiplied so that the product may be equal to \[\left( \frac{- 4}{7} \right)^{- 1} ?\]
The multiplicative inverse of 10–100 is ______.
