Question

The expontential form for `(-2)^4 xx (5/2)^4` is 5⁴.

Options

• True

• False

Answer 1

This statement is True.

Explanation:

Using laws of exponents, a^m ÷ aⁿ = (a)^{m – n} and `(a/b)^m = a^m/b^m`  ...[∵ a and b are non-zero integers]

∴ `(-2)^4 xx (5/2)^4 = (2)^4 xx (5)^4/(2)^4`

= (2)^{4 – 4} × 5⁴

= 2⁰ × 5⁴   ...[∵ (–a^m) = (a^m), if m is an even number]

= 5⁴