Solve for n in the Equation 6^n = 6×6×6: Exponent Value Problem

Question

Find the value of n:

$6^n=6\cdot6\cdot6$ ?

00:00 Find the correct exponent

00:04 Any number (A) multiplied by itself is actually squared

00:08 Any number (A) multiplied by itself (N) times is actually raised to the power of (N)

00:12 Let's use this formula in our exercise

00:17 Let's count how many times 6 multiplies itself

00:21 This is the correct exponent

00:24 And this is the solution to the question

We use the formula: $a\times a=a^2$

In the formula, we see that the power shows the number of terms that are multiplied, that is, two times

Since in the exercise we multiply 6 three times, it means that we have 3 terms.

Therefore, the power, which is n in this case, will be 3.

$n=3$