Simplify x8/x4

(1 point)
Responses

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 factors of x in the denominator, when the x's cancel you are left with x to the 4th power

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

1 answer

The correct response for simplifying \( \frac{x^8}{x^4} \) is:

"Because the numerator has an exponent of 8 and the denominator has an exponent of 4, when you divide you are left with \( x^{8-4} \), which simplifies to \( x^4 \)."

So the simplified form is \( x^4 \).

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