Evaluate (5/6)^(-3): Negative Exponent Expression Solution

Question

Insert the corresponding expression:

(56)3= \left(\frac{5}{6}\right)^{-3}=

Video Solution

Solution Steps

00:00 Simplify the following problem
00:03 According to the laws of exponents, a fraction raised to the power (-N)
00:07 is equal to its reciprocal raised to the opposite power (N)
00:12 We'll apply this formula to our exercise
00:15 Let's invert the fraction
00:19 and raise it to the opposite power (times(-1))
00:22 This is the solution

Answer

(65)3 \left(\frac{6}{5}\right)^3