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:
`(4^5 xx a^8b^3)/(4^5 xx a^5b^2)`
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
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:
(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`
Evaluate:
`(6^4 xx 9^2 xx 25^3)/(3^2 xx 4^2 xx 15^6)`
