Advertisements
Advertisements
प्रश्न
Find the value of n.
`6^n/6^-2 = 6^3`
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
Simplify and write the answer in the exponential form.
`(- 3)^4 xx (5/3)^4`
3–2 can be written as ______.
Which of the following is equal to `(- 3/4)^-3`?
For a non-zero rational number p, p13 ÷ p8 is equal to ______.
50 = 5
Express as a power of a rational number with negative exponent.
(25 ÷ 28) × 2–7
The cells of a bacteria double in every 30 minutes. A scientist begins with a single cell. How many cells will be there after 24 hours?
Use the properties of exponents to verify that statement is true.
`4^(n - 1) = 1/4(4)^n`
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.
The left column of the chart lists the lengths of input chains of gold. Repeater machines are listed across the top. The other entries are the outputs you get when you send the input chain from that row through the repeater machine from that column. Copy and complete the chart.
Input Length | Repeater Machine | ||
× 23 | |||
40 | 125 | ||
2 | |||
162 |