Question

rewrite using a single positive exponent.

(7^{9} \cdot 7^{-3})

Explanation:

Identify the given expression and rule

The expression is \(7^9 \cdot 7^{-3}\). We use the product rule for exponents: \(a^m \cdot a^n = a^{m+n}\).

Add the exponents

$$ 9 + (-3) = 6 $$

Write the simplified expression

$$ 7^6 $$

Answer:

Rewrite using a single positive exponent.
\(7^9 \cdot 7^{-3} =\) <blank>\(7^6\)</blank>