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
The value of 35 ÷ 3–6 is ______.
The value of (–2)2×3 – 1 is ______.
Find the value [4–1 + 3–1 + 6–2]–1 = ______.
`(-8/2)^0 = 0`
Solve the following:
100–10
The cells of a bacteria double in every 30 minutes. A scientist begins with a single cell. How many cells will be there after 12 hours?
Fill in the blanks
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.
Find x.
23x = 82x + 1
Simplify:
`(4/13)^4 xx (13/7)^2 xx (7/4)^3`
