Simplify by using the law of indices (3 {}^(9) * 3 {}^(4) ) / (3 { }^(3) * 3 {}^(7)) ​

Question

Simplify by using the law of indices


`(3 {}^(9) * 3 {}^(4) ) / (3 { }^(3) * 3 {}^(7))`
​

Answer 1

3^3 or 27.

Explanation:

(3^9 x 3^4) / (3^3 x 3^7) Workout the parentheses first:

= 3^(9+4) / 3^(3+7)

= 3^13 / 3 ^ 10

= 3^(13-10)

= 3^3.