First, simplify the expression inside the parentheses:
5√1024 = 5√(32 32) = 5 32 = 160
Now the expression becomes:
20/160 * (3/5)^2
Next, simplify the fractions:
20/160 = 1/8
Now we have:
1/8 * (3/5)^2
Now square the second fraction:
(3/5)^2 = (3/5) * (3/5) = 9/25
Now multiply the fractions:
1/8 * 9/25 = 9/200
Therefore, the final answer is 9/200.
First, simplify the expression inside the parentheses:
5√1024 = 5√(32 32) = 5 32 = 160
Now the expression becomes:
20/160 * (3/5)^2
Next, simplify the fractions:
20/160 = 1/8
Now we have:
1/8 * (3/5)^2
Now square the second fraction:
(3/5)^2 = (3/5) * (3/5) = 9/25
Now multiply the fractions:
1/8 * 9/25 = 9/200
Therefore, the final answer is 9/200.