Advertisements
Advertisements
Question
Simplify:
`(125"x"^-3)^(1/3)`
Sum
Advertisements
Solution
`(125"x"^-3)^(1/3)`
`=(125)^(1/3) * "x"^(-3xx1/3) ...(because ("a"^"m")^"n" = "a"^("m" xx "n") "and" " a"^"m" xx "a"^"n" = "a"^("m" xx "n"))`
`=(5xx5xx5)^(1/3)."x"^-1`
`= (5^3)^(1/3) * x^-1`
`= (5^cancel(3))^(1/cancel(3)) * x^-1`
= `5x^-1`
shaalaa.com
More About Exponents
Is there an error in this question or solution?
APPEARS IN
RELATED QUESTIONS
Compute:
`(2^-9÷2^-11)^3`
Compute:
`(27/64)^(-2/3)`
Compute:
`(27)^(2/3)÷(81/16)^(-1/4)`
Evaluate:
`(-5)^0`
Evaluate:
`8^0+4^0+2^0`
Simplify:
`("a"^5"b"^2)/("a"^2"b"^-3`
Simplify:
`(27"x"^-3"y"^6)^(2/3)`
Simplify:
`(-2"x"^(2/3)"y"^(-3/2))^6`
Simplify and express as positive indice:
`("a"^(-2)"b")^(1/2)xx("a""b"^-3)^(1/3)`
Simplify and express as positive indice:
(xy)(m-n).(yz)(n-l).(zx)(l-m)
