Solve (12×7×9)^(-5): Negative Exponent Calculation

Question

Insert the corresponding expression:

$\left(12\times7\times9\right)^{-5}=$

00:00 Simply

00:04 According to the laws of exponents, when we have a negative exponent

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

00:11 We will use this formula in our exercise

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

00:17 Raise to the positive exponent

00:24 To expand parentheses of an exponent over multiplication

00:29 Raise each factor to the power

00:35 We will use this formula in our exercise

00:42 And this is the solution to the question

$\frac{1}{12^5\times7^5\times9^5}$