Simplify. Express your answer using positive exponents $$ \frac{\left(8 f^{-1}\right)(6 f)}{6 f^{0}} $$

Question

UpStudy AI · Accepted Answer

1. Start by rewriting the expression:
   $$
   \frac{\left(8 f^{-1}\right)(6 f)}{6 f^{0}}
   $$

2. Recall that $$ f^{0} = 1 $$, so the expression simplifies to:
   $$
   \frac{(8 f^{-1})(6 f)}{6 \cdot 1} = \frac{(8 f^{-1})(6 f)}{6}
   $$

3. Multiply the factors in the numerator:
   $$
   8 f^{-1} \times 6 f = 48 f^{-1} f
   $$

4. Use the exponent rule $$ f^{-1} f = f^{-1+1} = f^0 = 1 $$:
   $$
   48 f^{-1} f = 48 \cdot 1 = 48
   $$

5. Substitute back into the expression:
   $$
   \frac{48}{6} = 8
   $$

The simplified expression is $$8$$.
The simplified expression is $$8$$.

Simplify. Express your answer using positive exponents \( \frac{\left(8 f^{-1}\right)(6 f)}{6 f^{0}} \)