Advertisements
Advertisements
Question
Which of the following is equal to x?
Options
`x^(12/7) - x^(5/7)`
`root(12)((x^4)^(1/3)`
`(sqrt(x^3))^(2/3)`
`x^(12/7) xx x^(7/12)`
Advertisements
Solution
`bb((sqrt(x^3))^(2/3))`
Explanation:
`(sqrt(x^3))^(2/3) = (x^(3/2))^(2/3)`
= `x^(3/2 xx 2/3)` ...`[∵ (a^m)^n = a^(mn)]`
= x
APPEARS IN
RELATED QUESTIONS
Find:-
`64^(1/2)`
Assuming that x, y, z are positive real numbers, simplify the following:
`(x^-4/y^-10)^(5/4)`
Prove that:
`(2^n+2^(n-1))/(2^(n+1)-2^n)=3/2`
Solve the following equation:
`sqrt(a/b)=(b/a)^(1-2x),` where a and b are distinct primes.
The value of \[\left\{ 8^{- 4/3} \div 2^{- 2} \right\}^{1/2}\] is
The value of m for which \[\left[ \left\{ \left( \frac{1}{7^2} \right)^{- 2} \right\}^{- 1/3} \right]^{1/4} = 7^m ,\] is
If (16)2x+3 =(64)x+3, then 42x-2 =
The simplest rationalising factor of \[2\sqrt{5}-\]\[\sqrt{3}\] is
The positive square root of \[7 + \sqrt{48}\] is
Simplify:
`7^(1/2) . 8^(1/2)`
