Advertisements
Advertisements
प्रश्न
`(125 xx x^-3)/(5^-3 xx 25 xx x^-6)`
Advertisements
उत्तर
Using laws of exponents,
am + an = (a)n – m and `a^-m = 1/a^m` ...[∵ a is non-zero integer]
∴ `(125 xx x^-3)/(5^-3 xx 25 xx x^-6) = (5)^3 xx 5^3 xx 5^-2 xx x^-3 xx x^6` ....`[(∵ 125 = 5 xx 5 xx 5),("and" 25 = 5 xx 5)]`
= 54 × x3
= 5 × 5 × 5 × 5 × x3 ...[∵ am × an = am + n]
= 625 x3
APPEARS IN
संबंधित प्रश्न
Simplify and write the answer in the exponential form.
`1/8 xx (3)^(-3)`
The value of `1/4^-2` is ______.
If y be any non-zero integer, then y0 is equal to ______.
The value of [3–1 × 4–1]2 is ______.
`a^m = 1/a^-m`
The expontential form for `(-2)^4 xx (5/2)^4` is 54.
The value of 5–2 is equal to 25.
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?
If a = – 1, b = 2, then find the value of the following:
ab + ba
