Question

How do you write out (x^3) (x^-2) into an equivalent expression

Answer 1

$\text{The equivalent expression of } (x^3)(x^{-2}) \text{ is } x$

Solution:

Given that,

Given expression is:

$(x^3)(x^{-2})$

We have to write the equivalent expression

Use the following law of exponent

$a^m \times a^n = a^{m+n}$

Therefore,

$(x^3)(x^{-2})$

Here the base is same and exponents are 3 and -2

Thus we get a equivalent expression as:

$x^3 \times x^{-2} = x^{3-2}\\\\x^3 \times x^{-2} = x^1\\\\x^3 \times x^{-2} = x$

Thus the equivalent expression is x