Advertisements
Advertisements
प्रश्न
If a, m, n are positive ingegers, then \[\left\{ \sqrt[m]{\sqrt[n]{a}} \right\}^{mn}\] is equal to
पर्याय
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
If 49392 = a4b2c3, find the values of a, b and c, where a, b and c are different positive primes.
Prove that:
`((0.6)^0-(0.1)^-1)/((3/8)^-1(3/2)^3+((-1)/3)^-1)=(-3)/2`
Find the value of x in the following:
`(sqrt(3/5))^(x+1)=125/27`
If `x=2^(1/3)+2^(2/3),` Show that x3 - 6x = 6
Solve the following equation:
`4^(x-1)xx(0.5)^(3-2x)=(1/8)^x`
State the product law of exponents.
If 3x-1 = 9 and 4y+2 = 64, what is the value of \[\frac{x}{y}\] ?
If a, b, c are positive real numbers, then \[\sqrt[5]{3125 a^{10} b^5 c^{10}}\] is equal to
If g = `t^(2/3) + 4t^(-1/2)`, what is the value of g when t = 64?
Find:-
`16^(3/4)`
