Advertisements
Advertisements
प्रश्न
Evaluate:
`(6^4 xx 9^2 xx 25^3)/(3^2 xx 4^2 xx 15^6)`
उत्तर
We have, `(6^4 xx 9^2 xx 25^3)/(3^2 xx 4^2 xx 15^6) = ((2 xx 3)^4 xx (3^2)^2 xx (5^2)^3)/(3^2 xx (2^2)^2 xx (3 xx 5)^6)`
= `(2^4 xx 3^4 xx 3^4 xx 5^6)/(3^2 xx 2^4 xx 3^6 xx 5^6)` ......[∵ (a × b)m = am × bm]
= `2^(4-4) xx 3^(4+4-2-6) xx 5^(6-6)` ......`[∵ a^m/a^n = a^(m-n)]`
= 20 × 30 × 50
= 1 × 1 × 1
= 1
APPEARS IN
संबंधित प्रश्न
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:
`(3^5 xx 10^5 xx 25)/(5^7 xx 6^5)`
Simplify: `(12^4 xx 9^3 xx 4)/(6^3 xx 8^2 xx 27)`
Write exponential form for 8 × 8 × 8 × 8 taking base as 2.
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:
(515 ÷ 510) × 55
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`
