Advertisements
Advertisements
प्रश्न
Simplify and express the following in exponential form:
`[(7/11)^5 ÷ (7/11)^2] xx (7/11)^2`
Advertisements
उत्तर
We have, `[(7/11)^5 ÷ (7/11)^2] xx (7/11)^2`
= `[(7/11)^5/(7/11)^2] xx (7/11)^2` = `(7/11)^(5 - 2) xx (7/11)^2` ...`[∵ a^m/a^n = a^(m - n)]`
= `(7/11)^3 xx (7/11)^2` = `(7/11)^(3 + 2)` ...[∴ am × an = am + n]
= `(7/11)^5`
APPEARS IN
संबंधित प्रश्न
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 ______.
The value of `(10^22 + 10^20)/10^20` is ______.
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]`
Simplify and express the following in exponential form:
(515 ÷ 510) × 55
Evaluate:
`(5^4 xx 7^4 xx 2^7)/(8 xx 49 xx 5^3)`
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`
