Advertisements
Advertisements
प्रश्न
State the power law of exponents.
Advertisements
उत्तर
The "power rule" tell us that to raise a power to a power, just multiply the exponents.
If a is any real number and m, n are positive integers, then `(a^m)^n = a^(mn)`
We have,
`(a^m)^n = a^m xx a^m xx a^m xx ....n ` factors
`(a^m)^n = (a xx a xx a xx... m ) xx (a xx a xx a xx... m ).... n `factors
`(a^m)^n =(a xx a xx a xx... m )`
Hence, `(a^m)^n = a^(mn)`
APPEARS IN
संबंधित प्रश्न
If a = 3 and b = -2, find the values of :
aa + bb
Solve the following equation for x:
`4^(2x)=1/32`
Assuming that x, y, z are positive real numbers, simplify the following:
`(sqrtx)^((-2)/3)sqrt(y^4)divsqrt(xy^((-1)/2))`
If (x − 1)3 = 8, What is the value of (x + 1)2 ?
When simplified \[( x^{- 1} + y^{- 1} )^{- 1}\] is equal to
If a, b, c are positive real numbers, then \[\sqrt{a^{- 1} b} \times \sqrt{b^{- 1} c} \times \sqrt{c^{- 1} a}\] is equal to
(256)0.16 × (256)0.09
If (16)2x+3 =(64)x+3, then 42x-2 =
If \[2^{- m} \times \frac{1}{2^m} = \frac{1}{4},\] then \[\frac{1}{14}\left\{ ( 4^m )^{1/2} + \left( \frac{1}{5^m} \right)^{- 1} \right\}\] is equal to
Simplify:
`11^(1/2)/11^(1/4)`
