Advertisements
Advertisements
Question
Find:-
`125^(1/3)`
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`
APPEARS IN
RELATED QUESTIONS
Simplify the following:
`(3^nxx9^(n+1))/(3^(n-1)xx9^(n-1))`
Solve the following equation for x:
`4^(2x)=1/32`
Assuming that x, y, z are positive real numbers, simplify the following:
`(sqrt(x^-3))^5`
Simplify:
`((25)^(3/2)xx(243)^(3/5))/((16)^(5/4)xx(8)^(4/3))`
Prove that:
`9^(3/2)-3xx5^0-(1/81)^(-1/2)=15`
Prove that:
`(2^(1/2)xx3^(1/3)xx4^(1/4))/(10^(-1/5)xx5^(3/5))div(3^(4/3)xx5^(-7/5))/(4^(-3/5)xx6)=10`
If ax = by = cz and b2 = ac, show that `y=(2zx)/(z+x)`
If `2^x xx3^yxx5^z=2160,` find x, y and z. Hence, compute the value of `3^x xx2^-yxx5^-z.`
The square root of 64 divided by the cube root of 64 is
Simplify:-
`(1/3^3)^7`
