Complete the Expression: (3×7)/(4×8) Raised to Power (b+1)

Question

Insert the corresponding expression:

(3×74×8)b+1= \left(\frac{3\times7}{4\times8}\right)^{b+1}=

Video Solution

Solution Steps

00:00 Simplify the following problem
00:04 According to the laws of exponents, a fraction raised to a power (N)
00:08 equals the numerator and denominator raised to the same power (N)
00:13 We will apply this formula to our exercise
00:21 According to the laws of exponents when a product is raised to a power (N)
00:26 it is equal to each factor in the product separately raised to the same power (N)
00:33 We will apply this formula to our exercise
00:47 This is the solution

Answer

3b+1×7b+14b+1×8b+1 \frac{3^{b+1}\times7^{b+1}}{4^{b+1}\times8^{b+1}}