Advertisements
Advertisements
प्रश्न
Evaluate:
`((6 xx 10)/(2^2 xx 5^3))^2 xx 25/27`
Advertisements
उत्तर
We have, `((6 xx 10)/(2^2 xx 5^3))^2 xx 25/27 = ((2 xx 3 xx 2 xx 5)/(2^2 xx 5^3)) xx 5^2/3^3` ...[∵ 6 = 2 × 3 and 10 = 2 × 5]
= `((2^2 xx 3 xx 5)/(2^2 xx 5^3)) xx 5^2/3^3`
= `(3/5^2)^2 xx 5^2/3^3` ...[∵ (a × b)m = am × bm]
= `3^2/5^4 xx 5^2/3^3` ...[∵ (am)n = amn]
= `1/(5^2 xx 3)`
= `1/(25 xx 3)`
= `1/75`
APPEARS IN
संबंधित प्रश्न
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:
`(3^5 xx 10^5 xx 25)/(5^7 xx 6^5)`
The value of `(10^22 + 10^20)/10^20` is ______.
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:
`[(7/11)^5 ÷ (7/11)^2] xx (7/11)^2`
Simplify and express the following in exponential form:
(515 ÷ 510) × 55
Evaluate:
`(15^4 xx 18^3)/(3^3 xx 5^2 xx 12^2)`
