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

Question

Find the value of n:

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

00:07 Let's find the right exponent.

00:11 When any number, like A, multiplies itself, we call it squared.

00:16 When A multiplies itself N times, it's A to the power of N.

00:22 Let's apply this idea to our exercise.

00:25 We'll count how many times 6 multiplies itself.

00:30 This gives us the correct exponent.

00:34 And there you have it; that's the answer.

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.

$n=3$