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

Question

Insert the corresponding expression:

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

00:00 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

00:24 According to the laws of exponents when the entire product is raised to a power (N)

00:30 equals each factor in the product separately raised to the same power (N)

00:35 We will use this formula in our exercise

01:00 And this is the solution to the question

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