Question

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

Answer 1

Answer:

$n=-14$

Step-by-step explanation:

The given expression is

$(x^3)(x^{-17})=x^n$

Recall that; $a^m\times a^n=a^{m+n}$

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.

$\therefore n=-14$

Answer 2

Answer:

21

Step-by-step explanation: