Question

rewrite using a single exponent. 6·6⁴

Explanation:

Step1: Recall exponent rule

For \(a^m \cdot a^n = a^{m + n}\), and note that \(6 = 6^1\).

Step2: Apply the rule

So \(6\cdot6^4 = 6^1\cdot6^4 = 6^{1 + 4}\).

Step3: Calculate the sum

\(1+4 = 5\), so \(6^{1 + 4}=6^5\).

Answer:

\(6^5\)