Advertisements
Advertisements
Question
Which of the following is equal to `(- 3/4)^-3`?
Options
`(3/4)^-3`
`-(3/4)^-3`
`(4/3)^3`
`(- 4/3)^3`
Advertisements
Solution
`bb((- 4/3)^3)`
Explanation:
Given, `((-3)/4)^-3`
Using law of exponents,
`a^-m = 1/a^m` ...[∵ a is non-zero integer]
∴ `((-3)/4)^-3 = 1/((-3)/4)^3 = (- 4/3)^3`
APPEARS IN
RELATED QUESTIONS
The reciprocal of `(2/5)^-1` is ______.
`(-5/7)^-5` is equal to ______.
For a non-zero rational number p, p13 ÷ p8 is equal to ______.
The value of [3–1 × 4–1]2 is ______.
(–7)–4 × (–7)2 = (–7)–2
Find the value of x–3 if x = (100)1 – 4 ÷ (100)0.
Consider a quantity of a radioactive substance. The fraction of this quantity that remains after t half-lives can be found by using the expression 3–t. What fraction of substance remains after 7 half-lives?
Find a single repeater machine that will do the same work as hook-up.
Supply the missing information for diagram.
If a = – 1, b = 2, then find the value of the following:
ab – ba
