Question

rewrite using a single exponent. 6·6^4

Explanation:

Step1: Recall exponent rule

When multiplying two numbers with the same base \(a^m\times a^n=a^{m + n}\), and \(6 = 6^1\).
So \(6\times6^4=6^1\times6^4\).

Step2: Apply the rule

Using the rule \(a^m\times a^n=a^{m + n}\), with \(a = 6\), \(m = 1\) and \(n=4\), we get \(6^1\times6^4=6^{1 + 4}\).

Step3: Calculate the exponent

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

Answer:

\(6^5\)