Advertisements
Advertisements
प्रश्न
Simplify:
`(25 xx 5^2 xx t^8)/(10^3 xx t^4)`
Advertisements
उत्तर
`(25 xx 5^2 xx t^8)/(10^3 xx t^4)`
= `(5 xx 5 xx 5^2 xx t^2)/((5 xx 2)^3 xx t^4)` ...[(a × b)m = am × bm]
= `(5^(1 + 1 + 2) xx t^8)/(5^3 xx 2^3 xx t^4)` ...[am × an = am + n]
= `(5^4 xx t^8)/(5^3 xx 2^3 xx t^4)`
= `(5^(4 - 3) xx t^(8 - 4))/2^3` ...[am ÷ an = am + n]
= `(5^1xx t^4)/(2 xx 2 xx 2)`
= `(5t^4)/8`
संबंधित प्रश्न
Simplify and express the following in exponential form:
`(4^5 xx a^8b^3)/(4^5 xx a^5b^2)`
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.
[(–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:
`(7^8 xx a^10b^7c^12)/(7^6 xx a^8b^4c^12)`
Evaluate:
`(5^4 xx 7^4 xx 2^7)/(8 xx 49 xx 5^3)`
Evaluate:
`(6^4 xx 9^2 xx 25^3)/(3^2 xx 4^2 xx 15^6)`
