Advertisements
Advertisements
प्रश्न
Evaluate.
`(5/8)^(-7) xx (8/5)^(-4)`
मूल्यांकन
Advertisements
उत्तर
`(5/8)^(-7) xx (8/5)^(-4) = 5^(-7)/8^(-7) xx 8^(-4)/5^(-4)` ...`[(a/b)^m = a^m/b^m]`
= `8^7/5^7 xx 5^4/8^4` ....`(a^(-m) = 1/a^m)`
= `(8^(7-4))/5^(7-4)` ....`(a^m ÷ a^n = a^(m-n))`
= `8^3/5^3`
= `512/125`
shaalaa.com
क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
APPEARS IN
संबंधित प्रश्न
Simplify.
`(25 xx t^(-4))/(5^(-3) xx10xxt^(-8)) (t != 0)`
Simplify:
\[\left[ \left( \frac{1}{3} \right)^{- 3} - \left( \frac{1}{2} \right)^{- 3} \right] \div \left( \frac{1}{4} \right)^{- 3}\]
Express the following rational numbers with a positive exponent:
\[\left( \frac{3}{4} \right)^{- 2}\]
Simplify:
\[\left( 3^2 - 2^2 \right) \times \left( \frac{2}{3} \right)^{- 3}\]
Find x, if \[\left( \frac{1}{4} \right)^{- 4} \times \left( \frac{1}{4} \right)^{- 8} = \left( \frac{1}{4} \right)^{- 4x}\]
\[\left( \frac{- 2}{5} \right)^7 \div \left( \frac{- 2}{5} \right)^5\] is equal to
Find the value of (2−1 × 4−1) ÷2−2.
Find the value of `(1/2)^(-2)+(1/3)^(-2)+(1/4)^(-2)`
Find the multiplicative inverse of the following.
10– 5
The multiplicative inverse of 1010 is ______.
