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

Question

Insert the corresponding expression:

(38)5= \left(\frac{3}{8}\right)^{-5}=

Video Solution

Solution Steps

00:00 Simply
00:03 According to the laws of exponents, any fraction with a negative exponent (-N)
00:08 equals its reciprocal with the opposite exponent (N)
00:11 We will use this formula in our exercise
00:14 We will flip the fraction
00:19 and raise it to the opposite power (times(-1))
00:23 and this is the solution to the question

Answer

(83)5 \left(\frac{8}{3}\right)^5