Question

The expression ( (5c)^3 x c x d^6 / (5d)^2 ) ^2 represents the average temperature on Venus.

Completely simplify this expression.

Answer 1

The completely simplified expression is 25c^8d^

Step-by-step explanation:

In the expression ((5c)^3 x c x d^6 / (5d)^2) ^2, we can start by simplifying the exponents:

((5c)^3 x c^1 x d^6 / (5d)^2) ^2

(125c^3 x c x d^6 / 25d^2) ^2

Next, we can simplify the numerators and denominators:

(125c^4d^6 / 25d^2) ^2

Finally, we can simplify the expression within the parentheses:

(5c^4d^4) ^2 = 25c^8d^8

So, the completely simplified expression is 25c^8d^8.