Advertisements
Advertisements
प्रश्न
`(16 xx 10^2 xx 64)/(2^4 xx 4^2)`
Advertisements
उत्तर
Using laws of exponents,
am ÷ an = (a)m – n and am × an = am + n ...[∵ a is non-zero integer]
∴ `(16 xx 10^2 xx 64)/(2^4 xx 4^2) = (4)^2 xx 10^2 xx 2^-4 xx (4)^3 xx 4^-2` ...`[(∵ 64 = 4 xx 4 xx 4),(and 16 = 4 xx 4)]`
= (4)3 × 102 × 2–4
= (22)3 × 102 × 2–4
= 26 × 102 × 2–4
= 22 × 102 ...[∵ 22 = 4]
= 4 × 100
= 400
APPEARS IN
संबंधित प्रश्न
Simplify and write the answer in the exponential form.
(25 ÷ 28)5 × 2-5
If y be any non-zero integer, then y0 is equal to ______.
`(-5/7)^-5` is equal to ______.
The expontential form for `(-2)^4 xx (5/2)^4` is 54.
Solve the following:
100–10
Fill in the blanks
What happens when 1 cm worms are sent through these hook-ups?
Find a single repeater machine that will do the same work as hook-up.
For hook-up, determine whether there is a single repeater machine that will do the same work. If so, describe or draw it.
If possible, find a hook-up of prime base number machine that will do the same work as the given stretching machine. Do not use (× 1) machines.
