Advertisements
Advertisements
Question
Express as a power of a rational number with negative exponent.
`(((-3)/2)^-2)^-3`
Sum
Advertisements
Solution
Using laws of exponents,
(am)n = (a)m × n and `a^-m = 1/a^m` ...[∵ a is non-zero integer]
∴ `(((-3)/2)^-2)^-3 = ((-3)/2)^(-2 xx (-3))`
= `((-3)/2)^6`
= `(2/3)^-6`
shaalaa.com
Is there an error in this question or solution?
APPEARS IN
RELATED QUESTIONS
Cube of `-1/2` is ______.
50 = ______.
`[(2/13)^-6 ÷ (2/13)^3]^3 xx (2/13)^-9` = ______.
Simplify:
`(49 xx z^-3)/(7^-3 xx 10 xx z^-5) (z ≠ 0)`
Simplify:
(25 ÷ 28) × 2–7
By what number should we multiply (–29)0 so that the product becomes (+29)0.
Find x so that `(2/9)^3 xx (2/9)^-6 = (2/9)^(2x - 1)`
Find the value of n.
`(2^n xx 2^6)/2^-3 = 2^18`
If a = – 1, b = 2, then find the value of the following:
ab + ba
Simplify:
`((9)^3 xx 27 xx t^4)/((3)^-2 xx (3)^4 xx t^2)`
