Advertisements
Advertisements
प्रश्न
Find a single repeater machine that will do the same work as hook-up.

Advertisements
उत्तर
Using law of exponents,
(am × an = am + n) ...[∵ a is non-zero integer]
Repeater machine can do the work is equal to `(1/2)^2 xx (1/3)^2`
= `1/2 xx 1/2 xx 1/3 xx 1/3`
= `1/(2 xx 3 xx 2 xx 3)`
= `1/(6)^2`
So, `(xx (1/6)^2)` single machine can do the same work.
APPEARS IN
संबंधित प्रश्न
The value of `1/4^-2` is ______.
For a non-zero integer x, x7 ÷ x12 is equal to ______.
On multiplying ______ by 2–5 we get 25.
(–5)–2 × (–5)–3 = (–5)–6
By what number should we multiply (–29)0 so that the product becomes (+29)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.
Will the insect ever get to 1? Explain.
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.
Supply the missing information for diagram.

By what number should (–15)–1 be divided so that the quotient may be equal to (–5)–1?
