Advertisements
Advertisements
प्रश्न
Simplify and express the following in exponential form:
`[(3/5)^3 xx (3/5)^8] ÷ [(3/5)^2 xx (3/5)^4]`
Advertisements
उत्तर
We have, `[(3/5)^3 xx (3/5)^8] ÷ [(3/5)^2 xx (3/5)^4]`
= `(3/5)^(3 + 8) ÷ (3/5)^(2 + 4)` ...[∵ am × an = am + n]
= `(3/5)^11 ÷ (3/5)^6` = `(3/5)^11/(3/5)^6` = `(3/5)^(11 - 6)` ...`[∵ a^m/a^n = a^(m - n)]`
= `(3/5)^5`
APPEARS IN
संबंधित प्रश्न
Simplify:
`(3^5 xx 10^5 xx 25)/(5^7 xx 6^5)`
Simplify and write the answer in the exponential form.
[(22)3 x 36] x 56
Simplify: `(12^4 xx 9^3 xx 4)/(6^3 xx 8^2 xx 27)`
Simplify: `(2 xx 3^4 xx 2^5)/(9 xx 4^2)`
[(–3)2]3 is equal to ______.
The value of `(10^22 + 10^20)/10^20` is ______.
Simplify and express the following in exponential form:
`[(3/7)^4 xx (3/7)^5] ÷ (3/7)^7`
Evaluate:
`(125 xx 5^2 xx a^7)/(10^3 xx a^4)`
Evaluate:
`((6 xx 10)/(2^2 xx 5^3))^2 xx 25/27`
Evaluate:
`(15^4 xx 18^3)/(3^3 xx 5^2 xx 12^2)`
