Advertisements
Advertisements
Question
Compute:
`(27/64)^(-2/3)`
Sum
Advertisements
Solution
`(27/64)^(-2/3)=[[(3^3))/((4^3))]^(-2/3)`
`=3^(3xx-2/3)/4^(3xx(-2)/3)=3^-2/4^-2`
`=4^2/3^2=(4xx4)/(3xx3)=16/9`
`=1 7/9`
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:
`(125)^(-2/3)÷(8)^(2/3)`
Simplify:
`8^(4/3)+25^(3/2)-(1/27)^(-2/3)`
Simplify:
`(2^-3-2^-4)(2^-3+2^-4)`
Evaluate:
`4"x"^0`
Simplify:
`("a"^5"b"^2)/("a"^2"b"^-3`
Simplify:
`15"y"^8÷3"y"^3`
Simplify:
`(2"x"^2"y"^-3)^-2`
Simplify:
`(27"x"^-3"y"^6)^(2/3)`
Find the value of n, when:
`12^-5xx12^(2"n"+1)=12^13÷12^7`
