Advertisements
Advertisements
प्रश्न
`x^m/y^m = (y/x)^-m`
विकल्प
True
False
Advertisements
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
If x be any non-zero integer and m, n be negative integers, then xm × xn is equal to ______.
For a non-zero integer x, x7 ÷ x12 is equal to ______.
For a non-zero rational number p, p13 ÷ p8 is equal to ______.
By multiplying (10)5 by (10)–10 we get ______.
The expression for 35 with a negative exponent is ______.
`(2/3)^-2 xx (2/3)^-5 = (2/3)^10`
Use the properties of exponents to verify that statement is true.
`1/4 (2^n) = 2^(n - 2)`
Supply the missing information for diagram.
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.
By what number should (–15)–1 be divided so that the quotient may be equal to (–5)–1?
