Advertisements
Advertisements
प्रश्न
Find the value of n.
`6^n/6^-2 = 6^3`
बेरीज
Advertisements
उत्तर
Given, `6^n/6^-2 = 6^3`
Using law of exponents,
`6^n/6^-2 = 6^3` ...[∵ a is non-zero integer]
⇒ 6n + 2 = 63 ...[∵ am ÷ an = (a)m – n]
On comparing both sides, we get
n + 2 = 3
⇒ n = 1
shaalaa.com
या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
APPEARS IN
संबंधित प्रश्न
Find the value of 2–3.
(–9)3 ÷ (–9)8 is equal to ______.
`(-8/2)^0 = 0`
`x^m/y^m = (y/x)^-m`
Solve the following:
100–10
Simplify:
`(49 xx z^-3)/(7^-3 xx 10 xx z^-5) (z ≠ 0)`
Use the properties of exponents to verify that statement is true.
`1/4 (2^n) = 2^(n - 2)`
Find a single repeater machine that will do the same work as hook-up.

Find a single repeater machine that will do the same work as hook-up.

Find x.
`(- 1/7)^-5 ÷ (- 1/7)^-7 = (-7)^x`
