Solve ((4×6)/(5×10))^(-6): Negative Exponent Practice

Question

Insert the corresponding expression:

$\left(\frac{4\times6}{5\times10}\right)^{-6}=$

00:00 Simply

00:04 According to the laws of exponents, any fraction raised to power (N)

00:08 equals the numerator and denominator raised to the same power (N)

00:13 We will use this formula in our exercise

00:17 We will raise both numerator and denominator to power (N)

00:23 According to the laws of exponents when the entire product is raised to power (N)

00:27 equals each factor in the product separately raised to the same power (N)

00:32 We will use this formula in our exercise

00:42 And this is the solution to the question

$\frac{4^{-6}\times6^{-6}}{5^{-6}\times10^{-6}}$