How do you simplify this expression?

Solve the terms in parentheses first. We'll start on the denominator.

The denominator has an exponent for a fraction that also includes exponents. To multiply exponents within parentheses that are raised to a power, use this rule:

Simplify the denominator:

Solve the fractions in the numerator:

The problem should now read:

There is a denominator in a denominator. We can bring that to the numerator of the overall fraction:

Using a calculator, simplify the numerator:

The fraction should now read:

There is a denominator in the numerator. This can be brought down to the overall denominator:

Factor 19683:

Simplify the exponents:

The following fraction will be your

Note that: (3/7)^5 = (3^5)/(7^5)

Also note that: (3^4/7^3)^2 = (3^8/7^6)

Divide

((3^5)/(7^5))/(3^8/7^6) = (3^5)/7^5) x (7^6)/(3^8) = 7/3^3 = 7/27

(9/7)^2 = 9/7 x 9/7 = 81/49

Multiply

81/49 * 7/27 = 567/1323  = 3/7

3/7 is your simplified answer

hope this helps

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