Advertisements
Advertisements
प्रश्न
Simplify.
`(3^(-5) xx 10^(-5) xx 125)/(5^(-7) xx 6^(-5))`
Advertisements
उत्तर
`(3^(-5)xx10^(-5)xx125)/(5^(-7)xx6^(-5))`
`=(3^(-5)xx(2xx5)^5xx5^3)/(5^(-7)xx(2xx3)^(-5))`
`=((3)^(-5)xx(2)^(-5)xx(5)^(-5)xx(5)^3)/((5)^(-7)xx(2)^(-5)xx(3)^(-5))` ...[∵ (a × b)m = am × bm]
`= 3^(-5-(-5))xx2^(-5-(-5))xx5^(-5+3-(-7))` ...(am ÷ an = am−n)
= 30 × 20 × 55 ...(a0 = 1)
= 55
संबंधित प्रश्न
Simplify and express the result in power notation with positive exponent.
(−4)5 ÷ (−4)8
Express the following as a rational number of the form \[\frac{p}{q},\] where p and q are integers and q ≠ 0.
Find the value of the following:
\[\left\{ \left( \frac{1}{3} \right)^{- 1} - \left( \frac{1}{4} \right)^{- 1} \right\}^{- 1}\]
Evaluate:
5−2
Express the following rational numbers with a negative exponent:
Square of \[\left( \frac{- 2}{3} \right)\] is
Cube of \[\frac{- 1}{2}\] is
For a non-zero rational number a, a7 ÷ a12 is equal to
Find the value of (30 + 4−1) × 22.
Evaluate.
`(8^(-1)xx5^(3))/2^(-4)`
