Advertisements
Advertisements
प्रश्न
Evaluate:
`(5^4 xx 7^4 xx 2^7)/(8 xx 49 xx 5^3)`
Advertisements
उत्तर
We have, `(5^4 xx 7^4 xx 2^7)/(8 xx 49 xx 5^3) = (5^4 xx 7^4 xx 2^7)/(2^3 xx 7^2 xx 5^3)` ...[∵ 8 = 23 and 49 = 72]
= `(5^4/5^3) xx (2^7/2^3) xx (7^4/7^2)` = 54–3 × 27–3 × 74–2 ...`[∵ a^m/a^n = a^(m-n)]`
= 5 × 24 × 72
= 5 × 16 × 49
= 3920
APPEARS IN
संबंधित प्रश्न
Simplify and express the following in exponential form:
`(a^5/a^3)xx a^8`
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:
(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:
`(7^8 xx a^10b^7c^12)/(7^6 xx a^8b^4c^12)`
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:
`(15^4 xx 18^3)/(3^3 xx 5^2 xx 12^2)`
