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
Which of the following is not the reciprocal of `(2/3)^4`?
`[(2/13)^-6 ÷ (2/13)^3]^3 xx (2/13)^-9` = ______.
On dividing 85 by ______ we get 8.
The expontential form for `(-2)^4 xx (5/2)^4` is 54.
Solve the following:
100–10
Express as a power of a rational number with negative exponent.
`(((-3)/2)^-2)^-3`
Find x so that `(2/9)^3 xx (2/9)^-6 = (2/9)^(2x - 1)`
Use the properties of exponents to verify that statement is true.
25(5n – 2) = 5n
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 left column of the chart lists the lengths of input chains of gold. Repeater machines are listed across the top. The other entries are the outputs you get when you send the input chain from that row through the repeater machine from that column. Copy and complete the chart.
| Input Length | Repeater Machine | ||
| × 23 | |||
| 40 | 125 | ||
| 2 | |||
| 162 | |||
