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

Question

Insert the corresponding expression:

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

00:00 Simply

00:04 According to the laws of exponents, any fraction raised to a power (N)

00:08 equals the numerator and denominator raised to the same power (N)

00:13 We will use this formula in our exercise

00:21 According to the laws of exponents when the entire product is raised to a power (N)

00:26 equals each factor in the product separately raised to the same power (N)

00:33 We will use this formula in our exercise

00:47 And this is the solution to the question

$\frac{3^{b+1}\times7^{b+1}}{4^{b+1}\times8^{b+1}}$