Advertisements
Advertisements
प्रश्न
Simplify and express the following in exponential form:
`(2^3 xx 3^4 xx 4)/(3 xx 32)`
Advertisements
उत्तर
`(2^3 xx 3^4 xx 4)/(3 xx 32) = (2^3 xx 3^4 xx 2 xx 2)/(3 xx 2 xx 2 xx 2 xx 2 xx 2)`
= `(2^3 xx 3^4 xx 2^2)/(3 xx 2^5)`
= `(2^(3 + 2) xx 3^4)/(3 xx 2^5)` ...(∵ am × an = am + n)
= `(2^5 xx 3^4)/(3 xx 2^5)`
= 25 - 5 × 34 - 1 ...(∵ am ÷ am = am - n)
= 20 33
= 1 × 33
= 33
APPEARS IN
संबंधित प्रश्न
Using laws of exponents, simplify and write the answer in exponential form:
a4 × b4
Simplify and express the following in exponential form:
(30 + 20) × 50
Simplify:
`(7/2)^8 xx (7/2)^-6`
Solve: `((-2)/5)^2 xx ((-2)/5)^3`
By what number should (−4)−1 be multiplied so that the product becomes 10−1?
Find x if `5 x/5 xx 3 3/4` = 21
Express the following numbers using exponential form.
512
am × an is equal to ______.
xm × ym = (x × y)2m, where x and y are non-zero rational numbers and m is a positive integer.
