Evaluate (10/17)^(-5): Negative Exponent Fraction Problem

Question

Insert the corresponding expression:

(1017)5= \left(\frac{10}{17}\right)^{-5}=

Video Solution

Solution Steps

00:00 Simply
00:03 According to exponent laws, any fraction with power (-N)
00:07 equals its reciprocal with the opposite power (N)
00:10 We'll use this formula in our exercise
00:14 Let's flip the fraction
00:18 and raise it to the opposite power (times(-1))
00:21 and that's the solution to the question

Answer

(1710)5 \left(\frac{17}{10}\right)^5