Advertisements
Advertisements
प्रश्न
`x^m/y^m = (y/x)^-m`
विकल्प
True
False
उत्तर
This statement is True.
Explanation:
RHS = `(y/x)^-m`
Using laws of exponents, `(a/b)^m = a^m/b^m` and `a^-m = 1/a^m` ...[∵ a and b are non-zero integers]
∴ `(y/x)^-m = y^-m/x^-m = x^m/y^m`
LHS = RHS
APPEARS IN
संबंधित प्रश्न
3–2 can be written as ______.
[2–1 + 3–1 + 4–1]0 = ______.
The expontential form for `(-2)^4 xx (5/2)^4` is 54.
Find the product of the cube of (–2) and the square of (+4).
The cells of a bacteria double in every 30 minutes. A scientist begins with a single cell. How many cells will be there after 24 hours?
Use the properties of exponents to verify that statement is true.
`4^(n - 1) = 1/4(4)^n`
Find a single machine that will do the same job as the given hook-up.
a (× 23) machine followed by (× 2–2) machine.
Find a single machine that will do the same job as the given hook-up.
a (× 599) machine followed by a (5–100) machine.
For hook-up, determine whether there is a single repeater machine that will do the same work. If so, describe or draw it.
Simplify:
`[(4/3)^-2 - (3/4)^2]^((-2))`