Advertisements
Advertisements
Question
`(3/4)^5 ÷ (5/3)^5` is equal to ______.
Options
`(3/4 ÷ 5/3)^5`
`(3/4 ÷ 5/3)^1`
`(3/4 ÷ 5/3)^0`
`(3/4 ÷ 5/3)^10`
Advertisements
Solution
`(3/4)^5 ÷ (5/3)^5` is equal to `underlinebb((3/4 ÷ 5/3)^5)`.
Explanation:
Using law of exponents,
am ÷ bm = (a ÷ b)m ...[∵ a and b are non-zero integers]
∴ `(3/4)^5 ÷ (5/3)^5 = (3/4 ÷ 5/3)^5`
APPEARS IN
RELATED QUESTIONS
Find the value of 2–3.
The value of (–2)2×3 – 1 is ______.
50 = ______.
The value of [2–1 × 3–1]–1 is ______.
The expression for 35 with a negative exponent is ______.
If `5^(3x - 1) ÷ 25 = 125`, find the value of x.
If possible, find a hook-up of prime base number machine that will do the same work as the given stretching machine. Do not use (× 1) machines.

Simplify:
`[(1/2)^2 - (1/4)^3]^-1 xx 2^-3`
Simplify:
`(4/13)^4 xx (13/7)^2 xx (7/4)^3`
Simplify:
`((3^-2)^2 xx (5^2)^-3 xx (t^-3)^2)/((3^-2)^5 xx (5^3)^-2 xx (t^-4)^3`
