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
APPEARS IN
संबंधित प्रश्न
Simplify and express the result in power notation with positive exponent.
`(1/2^3)^2`
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:
(30 + 4−1) × 22
Find the value of the following:
\[\left\{ \left( \frac{1}{3} \right)^{- 1} - \left( \frac{1}{4} \right)^{- 1} \right\}^{- 1}\]
Express the following rational numbers with a positive exponent:
Express the following rational numbers with a positive exponent:
By what number should \[\left( \frac{5}{3} \right)^{- 2}\] be multiplied so that the product may be \[\left( \frac{7}{3} \right)^{- 1} ?\]
Simplify and express the result in power notation with positive exponent.
2−3 × (−7)−3
