Questions: 8 y^(-8) / x^3 y^(-5)

Transcript text: $\frac{8 y^{-8}}{x^{3} y^{-5}}$

Solution

Solution Steps

Step 1: Simplifying the Expression

We start with the expression $\frac{8 y^{-8}}{x^{3} y^{-5}}$. To simplify, we apply the properties of exponents. The term $y^{-8}$ in the numerator and $y^{-5}$ in the denominator can be combined by subtracting the exponents:

\[ y^{-8} \div y^{-5} = y^{-8 - (-5)} = y^{-3} \]

Thus, the expression simplifies to:

\[ \frac{8}{x^{3} y^{3}} \]

Final Answer

The simplified expression is

\[ \boxed{\frac{8}{x^{3} y^{3}}} \]

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