Question

The expression (x^3 )(x^(-17) ) is equivalent to (x^n). What is the value of n?

Answer 1

21

Explanation:

Answer 2

`n=-14`

Explanation:

The given expression is

`(x^3)(x^(-17))=x^n`

Recall that;
`a^m* a^n=a^(m+n)`

We apply this property to the left hand side to obtain;

`x^(3+-17)=x^n`

This simplifies to;

`x^(3-17)=x^n`

`x^(-14)=x^n`

Since the bases are the same; the exponents are also the same.

`\therefore n=-14`