Advertisements
Advertisements
Question
Simplify:
`("x"^(2"n"+7).("x"^2)^(3"n"+2))/"x"^(4(2"n"+3)`
Sum
Advertisements
Solution
`("x"^(2"n"+7).("x"^2)^(3"n"+2))/"x"^(4(2"n"+3)`
Given expression`=("x"^(2"n"+7)."x"^(6"n"+4))/"x"^(8"n"+12`
`="x"^(2"n"+7+6"n"+4)/"x"^(8"n"+12)="x"^(8"n"+11)/"x"^(8"n"+12`
`="x"^(8"n"+11-8"n"-12)="x"^-1`
`=1/"x"`
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:
`(4^7)^2xx(4^-3)^4`
Compute:
`(2^-9÷2^-11)^3`
Compute:
`(-1/3)^4÷(-1/3)^8xx(-1/3)^5`
Compute:
`(125)^(-2/3)÷(8)^(2/3)`
Compute:
`(-3)^4-(root(4)(3))^0xx(-2)^5÷(64)^(2/3)`
Evaluate:
`(-5)^0`
Simplify:
`5"z"^16÷15"z"^-11`
Simplify:
`(36"x"^2)^(1/2)`
Simplify:
`("a"^(2"n"+3)."a"^((2"n"+1)("n"+2)))/(("a"^3)^(2"n"+1)."a"^("n"(2"n"+1)`
