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
Which of the following is equal to `(- 3/4)^-3`?
Find the value [4–1 + 3–1 + 6–2]–1 = ______.
50 = 5
By what number should we multiply (–29)0 so that the product becomes (+29)0.
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?
What happens when 1 cm worms are sent through these hook-ups?
Supply the missing information for diagram.
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 | |||
By what number should (–8)–3 be multiplied so that the product may be equal to (–6)–3?
Simplify:
`(4/13)^4 xx (13/7)^2 xx (7/4)^3`
