Question

question 3 of 5

enter the correct answer in the box.

simplify the expression (3^{-8} \times 3^{4}).

Explanation:

⚡ Using what you learned: properties of exponents

Step 1: Apply the product rule

$$ 3^{-8} \times 3^{4} = 3^{-8 + 4} $$

Step 2: Simplify the exponent

$$ 3^{-8 + 4} = 3^{-4} $$

Step 3: Write with a positive exponent

$$ 3^{-4} = \frac{1}{3^4} = \frac{1}{81} $$

Answer:

$$ \frac{1}{81} $$