Advertisements
Advertisements
प्रश्न
If a, m, n are positive ingegers, then \[\left\{ \sqrt[m]{\sqrt[n]{a}} \right\}^{mn}\] is equal to
विकल्प
amn
a
am/n
1
Advertisements
उत्तर
Find the value of . `{msqrt nsqrta}^(mn)`
So,
`{msqrt nsqrta}^(mn)`= `{msqrt (a^(1/n)} }^(mn)`
= `{a^(1/n xx 1/m)}^(mn)`
= `{a^(1/n xx 1/m xxm xxn)}`
⇒ `{msqrt nsqrta}^(mn) = {a^(1/n xx 1/m xxm xxn)} `
⇒ `{msqrt nsqrta}^(mn) = a `
APPEARS IN
संबंधित प्रश्न
Simplify:-
`2^(2/3). 2^(1/5)`
Simplify the following
`(4ab^2(-5ab^3))/(10a^2b^2)`
If a = 3 and b = -2, find the values of :
ab + ba
Prove that:
`(a+b+c)/(a^-1b^-1+b^-1c^-1+c^-1a^-1)=abc`
Solve the following equation for x:
`2^(x+1)=4^(x-3)`
Solve the following equations for x:
`2^(2x)-2^(x+3)+2^4=0`
Find the value of x in the following:
`(root3 4)^(2x+1/2)=1/32`
For any positive real number x, write the value of \[\left\{ \left( x^a \right)^b \right\}^\frac{1}{ab} \left\{ \left( x^b \right)^c \right\}^\frac{1}{bc} \left\{ \left( x^c \right)^a \right\}^\frac{1}{ca}\]
(256)0.16 × (256)0.09
The positive square root of \[7 + \sqrt{48}\] is
