Simplify the Complex Fraction: (2⁹×3⁹)/(11⁹×7⁹)

Question

Insert the corresponding expression:

$\frac{2^9\times3^9}{11^9\times7^9}=$

00:00 Simplify the following expression

00:03 According to the laws of exponents, a product raised to the power (N)

00:08 equals a product broken down into factors where each factor is raised to the power (N)

00:12 We'll apply this formula to our exercise, converting to parentheses with a power

00:19 According to the laws of exponents, a fraction raised to the power (N)

00:24 equals the numerator and denominator, each raised to the same power (N)

00:28 Now we'll apply the second formula and convert the expression to a fraction inside of parentheses raised to a power

00:34 This is the solution

a'+b' are correct