Advertisements
Advertisements
Question
Evaluate:
`(5^4 xx 7^4 xx 2^7)/(8 xx 49 xx 5^3)`
Advertisements
Solution
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
RELATED QUESTIONS
Simplify and express the following in exponential form:
`(a^5/a^3)xx a^8`
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:
`(25 xx 5^2 xx t^8)/(10^3 xx t^4)`
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 ______.
Simplify and express the following in exponential form:
`[(7/11)^5 ÷ (7/11)^2] xx (7/11)^2`
Evaluate:
`(125 xx 5^2 xx a^7)/(10^3 xx a^4)`
Evaluate:
`(3^4 xx 12^3 xx 36)/(2^5 xx 6^3)`
