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

Question

Insert the corresponding expression:

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

00:00 Simply

00:03 According to laws of exponents, a product that is entirely in power (N)

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

00:12 We'll use this formula in our exercise, convert to parentheses with power

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

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

00:28 Now we'll use the second formula and convert to a fraction in parentheses with power

00:34 And this is the solution to the question

a'+b' are correct