Advertisements
Advertisements
Question
For hook-up, determine whether there is a single repeater machine that will do the same work. If so, describe or draw it.
Solution
Using law of exponents, am × an = (a)m + n ...[∵ a is non-zero integer]
Hook-up machine can do the work = 73 × 72 = 75
So, (x 75) single machine can do the same work.
Diagram of single x 75 machine.
APPEARS IN
RELATED QUESTIONS
Simplify and write the answer in the exponential form.
`1/8 xx (3)^(-3)`
If x be any non-zero integer and m, n be negative integers, then xm × xn is equal to ______.
If y be any non-zero integer, then y0 is equal to ______.
`(1/10)^0` is equal to ______.
The value of [1–2 + 2–2 + 3–2 ] × 62 is ______.
Simplify:
`(49 xx z^-3)/(7^-3 xx 10 xx z^-5) (z ≠ 0)`
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.
An electron’s mass is approximately 9.1093826 × 10–31 kilograms. What is this mass in grams?
Find a single repeater machine that will do the same work as hook-up.
