Advertisements
Advertisements
प्रश्न
Use the properties of exponents to verify that statement is true.
`1/4 (2^n) = 2^(n - 2)`
Advertisements
उत्तर
RHS = 2n – 2
= 2n ÷ 22 ...[∵ am ÷ an = (a)m – n]
= `2^n/4`
= LHS
APPEARS IN
संबंधित प्रश्न
The expontential form for `(-2)^4 xx (5/2)^4` is 54.
By what number should `((-3)/2)^-3` be divided so that the quotient may be `(4/27)^-2`?
The cells of a bacteria double in every 30 minutes. A scientist begins with a single cell. How many cells will be there after 12 hours?
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.
Where will the insect be after n hops?
In a repeater machine with 0 as an exponent, the base machine is applied 0 times. What do these machines do to a piece of chalk?

Find a single machine that will do the same job as the given hook-up.
a (× 23) machine followed by (× 2–2) machine.
Find a single repeater machine that will do the same work as hook-up.

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 | |||
Mass of Mars is 6.42 × 1029 kg and mass of the Sun is 1.99 × 1030 kg. What is the total mass?
Simplify:
`(4/13)^4 xx (13/7)^2 xx (7/4)^3`
