Express 1/6^7: Converting a Fraction to Negative Exponent Form

Question

Insert the corresponding expression:

$\frac{1}{6^7}=$

00:00 Simplify the following problem

00:03 According to the laws of exponents, a number raised to the power of (-N)

00:08 is equal to the reciprocal number raised to the opposite power (N)

00:10 We will apply this formula to our exercise

00:13 We'll convert to the reciprocal number, and raise it to the opposite power (times(-1))

00:19 This is the solution

$6^{-7}$