Question

what is the exponential form of 6 x 6 x 6?
○ 3⁶
○ 3 x 6
○ 6³

Explanation:

Step1: Recall Exponential Form

Exponential form is \(a^n\) where \(a\) is the base (repeated factor) and \(n\) is the exponent (number of times \(a\) is multiplied).

Step2: Identify Base and Exponent

Here, the repeated factor (base) is \(6\), and it is multiplied \(3\) times. So, \(6\times6\times6 = 6^{3}\).

Step3: Evaluate Options

• \(3^6\): Base \(3\), exponent \(6\) (not matching \(6\times6\times6\)).
• \(3\times6\): Not exponential form (it's a product of \(3\) and \(6\)).
• \(6^3\): Matches \(6\) multiplied \(3\) times.

Answer:

\(6^3\) (the option with \(6^3\))