Multiply the expressions. Simplify the result.

d^2/ ef * 5e^5f/ 4d

5^5 f. Sorry the f is separate from the fifth power.

To multiply the expressions and simplify the result, we need to follow these steps:

Step 1: Multiply the numerators (top numbers) together.
In this case, the numerator of the first expression is d^2, and the numerator of the second expression is 5e^5f. Multiply them together:
d^2 * 5e^5f = 5d^2e^5f

Step 2: Multiply the denominators (bottom numbers) together.
In this case, the denominator of the first expression is ef, and the denominator of the second expression is 4d. Multiply them together:
ef * 4d = 4def

Step 3: Combine the numerator and denominator into a single fraction.
Now that we have the multiplied numerator and denominator, we can combine them into a single fraction:
(5d^2e^5f) / (4def)

Step 4: Simplify the fraction.
To simplify the fraction, we can cancel out any common factors between the numerator and the denominator. In this case, we have d and e as common factors:
(5d^2e^5f) / (4def) = (5d * d * e^5f) / (4 * d * e * f)

Now, we can cancel out the common factors d, e, and f:
5d * d * e^5f = 5d * e^5f
4 * d * e * f = 4

The simplified fraction is:
(5d * e^5f) / 4