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
(–9)3 ÷ (–9)8 is equal to ______.
`(1/10)^0` is equal to ______.
The value of [1–2 + 2–2 + 3–2 ] × 62 is ______.
329.25 = 3 × 102 + 2 × 101 + 9 × 100 + 2 × 10–1 + 5 × 10–2
By what number should (–15)–1 be divided so that quotient may be equal to (–15)–1?
Find the value of n.
`(2^n xx 2^6)/2^-3 = 2^18`
Use the properties of exponents to verify that statement is true.
`1/4 (2^n) = 2^(n - 2)`
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 diameter of the Sun is 1.4 × 109 m and the diameter of the Earth is 1.2756 × 107 m. Compare their diameters by division.
