Advertisements
Advertisements
Question
Simplify and express the following in exponential form:
`[(3/5)^3 xx (3/5)^8] ÷ [(3/5)^2 xx (3/5)^4]`
Advertisements
Solution
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
RELATED QUESTIONS
Simplify and express the following in exponential form:
`(4^5 xx a^8b^3)/(4^5 xx a^5b^2)`
Simplify:
`((2^5)^2 xx 7^3)/(8^3 xx 7)`
Simplify: `(12^4 xx 9^3 xx 4)/(6^3 xx 8^2 xx 27)`
[(–3)2]3 is equal to ______.
Simplify and express the following in exponential form:
`[(3/7)^4 xx (3/7)^5] ÷ (3/7)^7`
Simplify and express the following in exponential form:
(37 ÷ 35)4
Simplify and express the following in exponential form:
`(a^6/a^4) xx a^5 xx a^0`
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:
`(6^4 xx 9^2 xx 25^3)/(3^2 xx 4^2 xx 15^6)`
