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
The value of `(2/5)^-2` is ______.
55 × 5–5 = ______.
Find the multiplicative inverse of (–7)–2 ÷ (90)–1.
By what number should `((-3)/2)^-3` be divided so that the quotient may be `(4/27)^-2`?
In a repeater machine with 0 as an exponent, the base machine is applied 0 times. What do these machines do to a piece of chalk?
Find a single repeater machine that will do the same work as hook-up.
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.
The diameter of the Sun is 1.4 × 109 m and the diameter of the Earth is 1.2756 × 107 m. Compare their diameters by division.
Find x.
`((-6)/7)^(x - 7) = 1`
Find x.
5x + 5x – 1 = 750
