Question

Simplify the expression. Write your answer as a power.

Answer 1

`((3)/(7))^7`

Explanation:

`Using \ formulas :\\ a^x \cdot a^y = a^(x+y)\\\\(b^x)/(b^y) = b^(x-y)\\\\((a)/(b))^x = (a^x)/(b^x)`

`((3)/(7))^3 \cdot ((3)/(7))^4 = (3^3)/(7^3) \cdot (3^4)/(7^4) = (3^(3+4))/(7^(3+4)) = (3^7)/(7^7) = ((3)/(7))^7`

Answer 2

(3/7)^7

Explanation:

When multiplying exponents we can use the formula: a^m x a^n = a^m+n.

In this case, we can plug in 3/7 for a, and their respective exponents as m and n.

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

Hope this helps!

:)