Solve (2×4×5)/7 Raised to Power a: Complete the Expression

Question

Insert the corresponding expression:

(2×4×57)a= \left(\frac{2\times4\times5}{7}\right)^a=

Video Solution

Solution Steps

00:00 Simplify the following problem
00:04 According to the laws of exponents, a fraction raised to the power (N)
00:07 equals the numerator and denominator raised to the same power (N)
00:12 We will apply this formula to our exercise
00:21 According to the laws of exponents when a product is raised to the power (N)
00:24 it is equal to each factor in the product separately raised to the same power (N)
00:30 We will apply this formula to our exercise
00:41 This is the solution

Answer

2a×4a×5a7a \frac{2^a\times4^a\times5^a}{7^a}