Advertisements
Advertisements
Question
Simplify and express the following in exponential form:
(37 ÷ 35)4
Advertisements
Solution
We have, (37 ÷ 35)4 = `(3^7/3^5)^4` = (37 – 5)4 ...`[∵ a^m/a^n = a^(m - n)]`
= (32)4 = 32 × 4 ...[∵ (am)n = amn]
= 38
APPEARS IN
RELATED QUESTIONS
Simplify:
`(25 xx 5^2 xx t^8)/(10^3 xx t^4)`
Simplify and write the answer in the exponential form.
[(22)3 x 36] x 56
Simplify: `(2 xx 3^4 xx 2^5)/(9 xx 4^2)`
Write exponential form for 8 × 8 × 8 × 8 taking base as 2.
[(–3)2]3 is equal to ______.
Simplify and express the following in exponential form:
`[(3/7)^4 xx (3/7)^5] ÷ (3/7)^7`
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:
`(15^4 xx 18^3)/(3^3 xx 5^2 xx 12^2)`
