Evaluate (3×7)^(-4): Negative Exponent Practice Problem

Question

Insert the corresponding expression:

$\left(3\times7\right)^{-4}=$

00:00 Simply

00:03 According to exponent laws, when we have a negative exponent

00:07 We can convert to the reciprocal number and get a positive exponent

00:10 We will use this formula in our exercise

00:13 We'll write the reciprocal number (1 divided by the number)

00:21 We'll raise to the positive exponent

00:24 And this is the solution to the question

$\frac{1}{\left(3\times7\right)^4}$