Advertisements
Advertisements
Question
Compute:
`(125)^(-2/3)÷(8)^(2/3)`
Sum
Advertisements
Solution
`(125)^(-2/3)÷(8)^(2/3)=(5^3)^(-2/3)÷(2^3)^(2/3)`
`=5^(-2/3xx3)÷2^(3xx2/3)`
`=5^-2÷2^2=1/5^2xx1/2^2`
`=1/25xx1/4=1/100`
shaalaa.com
More About Exponents
Is there an error in this question or solution?
APPEARS IN
RELATED QUESTIONS
Compute:
`1^8xx3^0xx5^3xx2^2`
Compute:
`(12)^-2xx3^3`
Compute:
`(27/64)^(-2/3)`
Compute:
`(243)^(2/5)÷(32)^(-2/5)`
Evaluate:
`(4"x")^0`
Evaluate:
`(7"x"^0)^2`
Evaluate:
`9^0+9^-1-9^-2+9^(1/2)-9^(-1/2)`
Simplify:
`("a"^5"b"^2)/("a"^2"b"^-3`
Simplify:
`5"z"^16÷15"z"^-11`
Simplify:
`("a"^(2"n"+3)."a"^((2"n"+1)("n"+2)))/(("a"^3)^(2"n"+1)."a"^("n"(2"n"+1)`
