Solve (3×7)/(5×8) Raised to Negative Third Power: Complex Fraction Challenge

Question

Insert the corresponding expression:

(3×75×8)3= \left(\frac{3\times7}{5\times8}\right)^{-3}=

Video Solution

Solution Steps

00:00 Simply
00:04 According to the laws of exponents, any fraction with power (N)
00:07 equals the numerator and denominator with the same power (N)
00:11 We will use this formula in our exercise
00:22 According to the laws of exponents when the entire product is raised to power (N)
00:26 equals each factor in the product separately raised to the same power (N)
00:35 We will use this formula in our exercise
00:45 And this is the solution to the question

Answer

33×7353×83 \frac{3^{-3}\times7^{-3}}{5^{-3}\times8^{-3}}