Advertisements
Advertisements
Question
Simplify.
`(3^(-5) xx 10^(-5) xx 125)/(5^(-7) xx 6^(-5))`
Advertisements
Solution
`(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
RELATED QUESTIONS
Evaluate.
`(5/8)^(-7) xx (8/5)^(-4)`
Simplify:
Evaluate:
\[\left( \frac{- 1}{2} \right)^{- 1}\]
Express the following as a rational number in the form \[\frac{p}{q}:\]
6−1
Simplify:
\[\left\{ 4^{- 1} \times 3^{- 1} \right\}^2\]
Express the following rational numbers with a negative exponent:
Express the following rational numbers with a positive exponent:
Find x, if
The multiplicative inverse of `(- 5/9)^-99` is ______.
The multiplicative inverse of `(3/2)^2` is not equal to `(2/3)^-2`.
