Advertisements
Advertisements
प्रश्न
Evaluate:
`(7^8 xx a^10b^7c^12)/(7^6 xx a^8b^4c^12)`
Advertisements
उत्तर
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
संबंधित प्रश्न
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:
`[(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:
`[(3/5)^3 xx (3/5)^8] ÷ [(3/5)^2 xx (3/5)^4]`
Evaluate:
`(5^4 xx 7^4 xx 2^7)/(8 xx 49 xx 5^3)`
Evaluate:
`(3^4 xx 12^3 xx 36)/(2^5 xx 6^3)`
Evaluate:
`(15^4 xx 18^3)/(3^3 xx 5^2 xx 12^2)`
