2/3 to the second power divided by
4/5 divided by 1/3.
Can you help me solve this?
Thank you!
(2/3)^2/(1/3)^1= (2/3)^2 * 3^1
= 2^2 * 3/9= 4/3
check that.
To solve the given expression: (2/3)^2 / (4/5) / (1/3), we need to follow the order of operations.
Step 1: Simplify the expression inside parentheses and solve any exponentiation.
(2/3)^2 = (2/3) * (2/3) = 4/9
Step 2: Solve for the division operation from left to right.
4/9 / (4/5) / (1/3) can be rewritten as (4/9) * (5/4) * (3/1)
Step 3: Simplify the fractions.
(4/9) * (5/4) * (3/1) = (20/36) * (15/4) * (3/1)
Step 4: Multiply the fractions.
(20/36) * (15/4) * (3/1) = 900/144
Step 5: Further simplify the fraction.
900/144 = 25/4
So, the final answer is 25/4.
You can verify it by simplifying 25/4 to the simplest form, which is 6 1/4 or 6.25.