[tex]\text{The equivalent expression of } (x^3)(x^{-2}) \text{ is } x[/tex]
Solution:
Given that,
Given expression is:
[tex](x^3)(x^{-2})[/tex]
We have to write the equivalent expression
Use the following law of exponent
[tex]a^m \times a^n = a^{m+n}[/tex]
Therefore,
[tex](x^3)(x^{-2})[/tex]
Here the base is same and exponents are 3 and -2
Thus we get a equivalent expression as:
[tex]x^3 \times x^{-2} = x^{3-2}\\\\x^3 \times x^{-2} = x^1\\\\x^3 \times x^{-2} = x[/tex]
Thus the equivalent expression is x
