Evaluate ((2×8)/(7×19))^(2x+3y): Complex Fraction Power Expression

Question

Insert the corresponding expression:

$\left(\frac{2\times8}{7\times19}\right)^{2x+3y}=$

00:13 Let's simplify this math problem together!

00:17 Remember, when a fraction is raised to the power of N, both the top and bottom are raised to N.

00:24 So, let's apply this rule to our problem.

00:27 Next, when a whole product is raised to the power of N, each part gets the power of N too.

00:37 Let's use this idea in our exercise.

00:43 Applying these rules makes it easier!

01:13 And that's how you solve the problem!

$\frac{2^{2x+3y}\times8^{2x+3y}}{7^{2x+3y}\times19^{2x+3y}}$