Question

question
fully simplify using only positive exponents.
\\(\frac{8x^8y^3}{8x^4y^7}\\)
answer attempt 1 out of 2
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Explanation:

Step1: Simplify the coefficient

The coefficient of the numerator and the denominator is 8, so we divide 8 by 8.
$\frac{8}{8} = 1$

Step2: Simplify the $x$ terms

Using the rule of exponents $\frac{a^m}{a^n}=a^{m - n}$, for the $x$ terms, we have $\frac{x^8}{x^4}=x^{8 - 4}=x^4$

Step3: Simplify the $y$ terms

Using the same exponent rule, for the $y$ terms, we have $\frac{y^3}{y^7}=y^{3 - 7}=y^{-4}$. But we need positive exponents, and $y^{-4}=\frac{1}{y^4}$

Step4: Combine the results

Multiply the results from Step1, Step2, and Step3: $1\times x^4\times\frac{1}{y^4}=\frac{x^4}{y^4}$

Answer:

$\frac{x^4}{y^4}$