Advertisements
Advertisements
प्रश्न
Find the value of n.
`6^n/6^-2 = 6^3`
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
APPEARS IN
संबंधित प्रश्न
3–2 can be written as ______.
`(1/10)^0` is equal to ______.
The value of [2–1 × 3–1]–1 is ______.
`(2/3)^-2 xx (2/3)^-5 = (2/3)^10`
Find the value of x so that `(5/3)^-2 xx (5/3)^-14 = (5/3)^(8x)`
Find the value of x so that (–2)3 × (–2)–6 = (–2)2x – 1
Find the value of x so that (2–1 + 4–1 + 6–1 + 8–1)x = 1
Use the properties of exponents to verify that statement is true.
`1/4 (2^n) = 2^(n - 2)`
Supply the missing information for diagram.
If possible, find a hook-up of prime base number machine that will do the same work as the given stretching machine. Do not use (× 1) machines.
