Advertisements
Advertisements
प्रश्न
Simplify:
\[\left[ \left\{ \left( \frac{- 1}{4} \right)^2 \right\}^{- 2} \right]^{- 1}\]
योग
Advertisements
उत्तर
\[\left[ \left\{ \left( \frac{- 1}{4} \right)^2 \right\}^{- 2} \right]^{- 1}\] `=(((-1)^2/4^2)^(-2))^(-1)` → ((a/b)n = an/(bn))
`=(((1)/16)^(-2))^(-1)` → (a−n = 1/(an))
`=(((1)/(1/16)^2)^(-2))^(-1)`
`=((1)/(1/256))^(-1)`
`=256^(-1)` → (a−1 = 1/a)
`=1/256`
shaalaa.com
क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
APPEARS IN
संबंधित प्रश्न
Evaluate.
`(5/8)^(-7) xx (8/5)^(-4)`
Simplify.
`(25 xx t^(-4))/(5^(-3) xx10xxt^(-8)) (t != 0)`
Simplify:
\[\left( 5^{- 1} \div 6^{- 1} \right)^3\]
Express the following rational numbers with a negative exponent:
\[\left( \frac{1}{4} \right)^3\]
Express the following rational numbers with a positive exponent:
\[4^3 \times 4^{- 9}\]
Simplify:
\[\left\{ \left( \frac{1}{3} \right)^{- 3} - \left( \frac{1}{2} \right)^{- 3} \right\} \div \left( \frac{1}{4} \right)^{- 3}\]
Find the value of x for which 52x ÷ 5−3 = 55.
\[\left( \frac{- 1}{2} \right)^5 \times \left( \frac{- 1}{2} \right)^3\] is equal to
For a non zero rational number a, (a3)−2 is equal to
The multiplicative inverse of (– 4)–2 is (4)–2.
