Advertisements
Advertisements
Question
Simplify:
`((2^5)^2 xx 7^3)/(8^3 xx 7)`
Advertisements
Solution
`((2^5)^2 xx 7^3)/(8^3 xx 7)`
= `(2^(5 xx 2) xx 7^3)/((2 xx 2 xx 2)^3 xx 7)` ...[∵ (am)n = amn]
= `(2^10 xx 7^3)/((2^3)^3 xx 7)`
= `(2^10 xx 7^3)/(2^(3 xx 3) xx 7)` ...[∵ (am)n = amn]
= `(2^10 xx 7^3)/(2^9 xx 7)`
= `2^(10 - 9) xx 7^(3 - 1)` ...(am ÷ an = am - n)
= 21 × 72
= 2 × 7 × 7
= 98
APPEARS IN
RELATED QUESTIONS
Simplify and express the following in exponential form:
`(a^5/a^3)xx a^8`
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: `(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)`
The value of `(10^22 + 10^20)/10^20` is ______.
Evaluate:
`(5^4 xx 7^4 xx 2^7)/(8 xx 49 xx 5^3)`
Evaluate:
`(3^4 xx 12^3 xx 36)/(2^5 xx 6^3)`
Evaluate:
`(15^4 xx 18^3)/(3^3 xx 5^2 xx 12^2)`
Evaluate:
`(6^4 xx 9^2 xx 25^3)/(3^2 xx 4^2 xx 15^6)`
