Advertisements
Advertisements
Question
Find a single repeater machine that will do the same work as hook-up.
Advertisements
Solution
Using law of exponents,
(am × an = am + n) ...[∵ a is non-zero integer]
Repeater machine can do the work is equal to `2^2 xx (1/2)^3 xx 2^4`
= `2^6 xx 1/2^3` ...`[∵ a^m/a^n = a^(m - n)]`
= 23
So, (× 23) single machine can do the same work.
APPEARS IN
RELATED QUESTIONS
Simplify and write the answer in the exponential form.
`1/8 xx (3)^(-3)`
For a non-zero integer x, x7 ÷ x12 is equal to ______.
By multiplying (10)5 by (10)–10 we get ______.
Find the value [4–1 + 3–1 + 6–2]–1 = ______.
Solve the following:
`(1/2)^-2 ÷ (1/2)^-3`
Express as a power of a rational number with negative exponent.
`(((-3)/2)^-2)^-3`
Find the value of x so that (–2)3 × (–2)–6 = (–2)2x – 1
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?
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.
Simplify:
`(1/5)^45 xx (1/5)^-60 - (1/5)^(+28) xx (1/5)^-43`
