Question

select the equivalent expression.
\\(\frac{x^{7}x^{5}}{yy^{-5}}\\)
answer attempt 1 out of 3
\\(x^{12}y^{4}\\) \\(x^{2}y^{4}\\) \\(\frac{1}{x^{12}y^{4}}\\) \\(\frac{1}{x^{2}y^{4}}\\)

Explanation:

Step1: Simplify x-terms (add exponents)

When multiplying like bases, add exponents: $x^7 \cdot x^5 = x^{7+5} = x^{12}$

Step2: Simplify y-terms (add exponents)

First, rewrite $y$ as $y^1$. Then $y^1 \cdot y^{-5} = y^{1+(-5)} = y^{-4}$

Step3: Rewrite negative y-exponent

A negative exponent moves to numerator: $\frac{x^{12}}{y^{-4}} = x^{12}y^{4}$

Answer:

A. $x^{12}y^{4}$