Advertisements
Advertisements
Question
If x be any integer different from zero and m be any positive integer, then x–m is equal to ______.
Options
xm
–xm
`1/x^m`
`(-1)/x^m`
Advertisements
Solution
If x be any integer different from zero and m be any positive integer, then x–m is equal to `underlinebb(1/x^m)`.
Explanation:
Using law of exponents,
`a^-m = 1/a^m` ...[∵ a is non-zero integer]
Similarly, `x^-m = 1/x^m`
APPEARS IN
RELATED QUESTIONS
`(-5/7)^-5` is equal to ______.
For a non-zero integer x, (x4)–3 is equal to ______.
`(3/4)^5 ÷ (5/3)^5` is equal to ______.
`(2/3)^-2 xx (2/3)^-5 = (2/3)^10`
Solve the following:
2–2 × 2–3
Use the properties of exponents to verify that statement is true.
25(5n – 2) = 5n
Mass of Mars is 6.42 × 1029 kg and mass of the Sun is 1.99 × 1030 kg. What is the total mass?
Find x.
23x = 82x + 1
Find x.
5x + 5x – 1 = 750
Simplify:
`[(4/3)^-2 - (3/4)^2]^((-2))`
