Advertisements
Advertisements
Question
Simplify:
`root3((343)^-2)`
Advertisements
Solution
Given `root3((343)^-2)`
`root3((343)^-2)=root3(1/343^2)`
`=root3(1/(7^3)^2)`
`=1^(1/3)/7^(3xx1/3xx2)`
`=1/7^2`
`=1/49`
Hence the value of `root3((343)^-2)` is `1/49`
shaalaa.com
Is there an error in this question or solution?
APPEARS IN
RELATED QUESTIONS
Find:-
`9^(3/2)`
If `1176=2^a3^b7^c,` find a, b and c.
Assuming that x, y, z are positive real numbers, simplify the following:
`(sqrt(x^-3))^5`
Prove that:
`sqrt(1/4)+(0.01)^(-1/2)-(27)^(2/3)=3/2`
The seventh root of x divided by the eighth root of x is
If x is a positive real number and x2 = 2, then x3 =
If o <y <x, which statement must be true?
If 10x = 64, what is the value of \[{10}^\frac{x}{2} + 1 ?\]
\[\frac{1}{\sqrt{9} - \sqrt{8}}\] is equal to
If `a = 2 + sqrt(3)`, then find the value of `a - 1/a`.
