Advertisements
Advertisements
Question
Simplify.
`(25 xx t^(-4))/(5^(-3) xx10xxt^(-8)) (t != 0)`
Advertisements
Solution
We have,
`(25 xx t^(-4))/(5^(-3) xx10xxt^(-8))`
`= ((5) xx t^-4)/ ((5)^-3 xx (5)^1 xx (2)^1 xx t^-8)`
`= ((5)^2 xx t^-4)/ (5^(-3 +1) xx (2)^1xxt^-8)` ...[∵ am . an = am+n]
`= ((5)^2 xx t^-4)/ ((5)^-2 xx (2)^1 xx t^-8)`
`= ((5)^(2+2) xxt^(-4+8))/ 2` ...`[a^m/a^n = a^(m-n)]`
`= ((5)^4 xxt^4)/2`
`= (625 xxt^4)/2`
`= (625t^4)/2`
APPEARS IN
RELATED QUESTIONS
Find the value of `{((-2)/3)^(-2)}^2`
Find the value of the following:
Simplify:
Evaluate:
(−3)−2
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:
By what number should 5−1 be multiplied so that the product may be equal to (−7)−1?
The multiplicative inverse of 10–100 is ______.
The multiplicative inverse of 1010 is ______.
