Evaluate (5×6×8)^(-9): Negative Exponent Expression Problem

Question

Insert the corresponding expression:

$\left(5\times6\times8\right)^{-9}=$

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

00:14 We'll write the reciprocal number (1 divided by the number)

00:17 We'll raise to the positive exponent

00:21 To open parentheses of an exponent over a product

00:28 We'll raise each factor to the exponent

00:33 We'll raise each factor to the exponent

00:40 And this is the solution to the question

$\frac{1}{5^9\times6^9\times8^9}$