Simplify   x^8/x^4

(1 point)
Responses

Because when you are dividing with exponents, you should add the exponents so that you are left with x12
  Because when you are dividing with exponents, you should add the exponents so that you are left with x to the 12th power

Because there are 8 factors of x in the numerator and 4 factors of x in the denominator, when the x's cancel you are left with x−4
Because there are 8 factors of x in the numerator and 4 factors of x in the denominator, when the x's cancel you are left with x to the negative 4 power

Because the numerator has an exponent of 8 and the denominator has an exponent of 4, when you divide you are left with x2
  Because the numerator has an exponent of 8 and the denominator has an exponent of 4, when you divide you are left with x squared

Because there are 8 factors of x in the numerator and 4 factors of x in the denominator, when the x's cancel you are left with x4
  Because there are 8 factors of x in the numerator and 4 factor…

1 answer

To simplify \( \frac{x^8}{x^4} \), you subtract the exponent in the denominator from the exponent in the numerator:

\[ \frac{x^8}{x^4} = x^{8 - 4} = x^4 \]

So the correct answer is:

Because there are 8 factors of x in the numerator and 4 factors of x in the denominator, when the x's cancel you are left with \( x^4 \).