Advertisements
Advertisements
Question
Evaluate:
`(7^8 xx a^10b^7c^12)/(7^6 xx a^8b^4c^12)`
Advertisements
Solution
We have, `(7^8 xx a^10b^7c^12)/(7^6 xx a^8b^4c^12)`
= `(7^8/7^6) xx (a^10/a^8) xx (b^7/b^4) xx (c^12/c^12)`
= `7^(8 - 6) xx a^(10 - 8) xx b^(7 - 4) xx c^(12 - 12)` ...`[∴ a^m/a^n = a^(m - n)]`
= 72 × a2 × b3 × c0 ...[∵ c0 = 1]
= 49 a2b3
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:
`(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
Write exponential form for 8 × 8 × 8 × 8 taking base as 2.
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:
`[(7/11)^5 ÷ (7/11)^2] xx (7/11)^2`
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`
Simplify and express the following in exponential form:
`[(3/5)^3 xx (3/5)^8] ÷ [(3/5)^2 xx (3/5)^4]`
Evaluate:
`(6^4 xx 9^2 xx 25^3)/(3^2 xx 4^2 xx 15^6)`
