Simplify: $$ \frac{x^{8} w^{-6}}{6 y^{-3} z^{7}} $$ Entry Tips: 1. Use ^ (shift+6) for exponents. To type $$ x^{2} $$ type " $$ x^{\wedge} 2^{"} $$ 2. Use parenthesis if there is more than one thing in the numerator or denominator. To type $$ \frac{2 a}{c+4} $$ type" $$ (2 a) /(c+4)^{\prime \prime} $$ "

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UpStudy AI · Accepted Answer

To simplify the expression:

$$
\frac{x^{8} w^{-6}}{6 y^{-3} z^{7}}
$$

follow these steps:

1. **Eliminate Negative Exponents:**  
   Recall that $$ a^{-n} = \frac{1}{a^n} $$. Apply this to the expression:
   $$
   \frac{x^{8}}{6} \cdot \frac{1}{w^{6}} \cdot \frac{y^{3}}{z^{7}}
   $$

2. **Combine the Terms:**  
   Combine all the positive exponents in the numerator and the denominator:
   $$
   \frac{x^{8} y^{3}}{6 w^{6} z^{7}}
   $$

So, the simplified form of the expression is:

$$
\frac{x^{8} y^{3}}{6 w^{6} z^{7}}
$$
$$ \frac{x^{8} y^{3}}{6 w^{6} z^{7}} $$

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