Advertisements
Advertisements
Question
Find:-
`125^((-1)/3)`
Advertisements
Solution
We can write the given expression as follows
⇒ `125^((-1)/3) = (5^3)^((-1)/3)`
On simplifying
⇒ `125^((-1)/3) = 5^(3 xx (-1)/3)`
⇒ `125^((-1)/3) = 5^(-1)`
∴ `125^((-1)/3) = 1/5`
APPEARS IN
RELATED QUESTIONS
Assuming that x, y, z are positive real numbers, simplify the following:
`(sqrt(x^-3))^5`
Show that:
`(x^(1/(a-b)))^(1/(a-c))(x^(1/(b-c)))^(1/(b-a))(x^(1/(c-a)))^(1/(c-b))=1`
State the quotient law of exponents.
If (23)2 = 4x, then 3x =
If a, b, c are positive real numbers, then \[\sqrt{a^{- 1} b} \times \sqrt{b^{- 1} c} \times \sqrt{c^{- 1} a}\] is equal to
If x = 2 and y = 4, then \[\left( \frac{x}{y} \right)^{x - y} + \left( \frac{y}{x} \right)^{y - x} =\]
The value of 64-1/3 (641/3-642/3), is
If \[\sqrt{5^n} = 125\] then `5nsqrt64`=
Simplify:-
`(1/3^3)^7`
Simplify:
`(1^3 + 2^3 + 3^3)^(1/2)`
