Advertisements
Advertisements
प्रश्न
`(16 xx 10^2 xx 64)/(2^4 xx 4^2)`
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
If y be any non-zero integer, then y0 is equal to ______.
`(1/10)^0` is equal to ______.
On dividing 85 by ______ we get 8.
329.25 = 3 × 102 + 2 × 101 + 9 × 100 + 2 × 10–1 + 5 × 10–2
(–4)–4 × (4)–1 = (4)5
`(-8/2)^0 = 0`
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.
Where will the insect be after n hops?
An electron’s mass is approximately 9.1093826 × 10–31 kilograms. What is this mass in grams?
In a repeater machine with 0 as an exponent, the base machine is applied 0 times. What do you think the value of 60 is?
