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:
a3 × a2
Simplify and express the following in exponential form:
20 × 30 × 40
Express the following as a product of prime factors only in exponential form:
768
Simplify:
`(4/5)^2 div (5/4)`
By what number should (−4)−1 be multiplied so that the product becomes 10−1?
29 × 32 = (2 × 3)9×2
Express the following in exponential form.
t × t
Express the following in exponential form.
2 × 2 × a × a
Express the following numbers using exponential form.
343
