Evaluate (3/8)^(-5): Negative Exponents with Fractions

Question

Insert the corresponding expression:

$\left(\frac{3}{8}\right)^{-5}=$

00:00 Simplify the following problem

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

00:08 is equal to its reciprocal raised to the opposite exponent (N)

00:11 We will apply this formula to our exercise

00:14 We will invert the fraction

00:19 and raise it to the opposite power (times(-1))

00:23 This is the solution

$\left(\frac{8}{3}\right)^5$