Advertisements
Advertisements
प्रश्न
By what number should (–15)–1 be divided so that quotient may be equal to (–15)–1?
Advertisements
उत्तर
Let (–15)–1 be divided by x to get quotient (–15)–1.
So, `(-15)^-1/x = (-15)^-1`
⇒ `(-15)^-1/(-15)^-1 = x`
⇒ x = (–15)–1 + 1 ...[∵ am + an = (a)m – n]
⇒ x = (–15)0 = 1 ...[∵ a0 = 1]
APPEARS IN
संबंधित प्रश्न
Simplify and write the answer in the exponential form.
(25 ÷ 28)5 × 2-5
For any two non-zero rational numbers x and y, x4 ÷ y4 is equal to ______.
Simplify:
`(1/4)^-2 + (1/2)^-2 + (1/3)^-2`
Find the value of x so that `(5/3)^-2 xx (5/3)^-14 = (5/3)^(8x)`
An insect is on the 0 point of a number line, hopping towards 1. She covers half the distance from her current location to 1 with each hop. So, she will be at `1/2` after one hop, `3/4` after two hops, and so on.
- Make a table showing the insect’s location for the first 10 hops.
- Where will the insect be after n hops?
- Will the insect ever get to 1? Explain.
An insect is on the 0 point of a number line, hopping towards 1. She covers half the distance from her current location to 1 with each hop. So, she will be at `1/2` after one hop, `3/4` after two hops, and so on.
Will the insect ever get to 1? Explain.
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:
`(1/5)^45 xx (1/5)^-60 - (1/5)^(+28) xx (1/5)^-43`
