Final answer:
Using the property of exponents that states the exponent of a power raised to another power is the product of the two powers, you simplify each part of the expression, then multiply or divide the results accordingly. This returns an answer of 81.
Step-by-step explanation:
To solve this problem, first we simplify each part of the expression before multiplying or dividing them relative to each other. This process uses the property of exponents that states the exponent of a power raised to another power is the product of the two powers: (a^m)^n=a^(m*n).
As the result:
- (25)^(3/2) equals 125,
- (243)^(3/5) equals 27,
- (16)^(5/4) equals 8, and
- (8)^(4/3) equals 16.
The next step is to multiply or divide these results accordingly:
(125*27)/(8*16) = 81.
So, the correct answer is D) 81.
Learn more about Property of Exponents