How would you explain how to do this problem step by step in words? The answer is suppose to be 43/128
11/16-(-3/4)^2/2^3/5
I already did this problem step-by-step for you (or someone), about 36 hours ago. What kind of additional words to you need? What step didn't you understand?
It wasn't me. I don't understand how to do the entire thing.
To solve this problem step by step, let's break it down:
Step 1: Simplify the expressions inside the parentheses first.
Inside the parentheses, we have (-3/4)^2, which means we need to square -3/4. To square a fraction, we multiply the numerator by itself and the denominator by itself. So, (-3/4)^2 = (-3/4) * (-3/4). Multiplying the numerators and the denominators gives us 9/16.
Step 2: Simplify the remaining exponents.
Now let's simplify 2^3/5. To raise a number to a power that's in fraction form, we take the numerator as the exponent of the number, and the denominator as the root of the number. So, 2^3/5 = the cube root of 2 raised to the power of 3. The cube root of 2 is approximately 1.26, and 1.26^3 = 2. So, 2^3/5 = 2.
Step 3: Perform the operations in the numerator.
We have 11/16 - 9/16. Since both fractions have the same denominator, we can simply subtract the numerators: 11 - 9 = 2.
Step 4: Combine the numerator and denominator.
The result from the numerator (2) is divided by the value from the exponent calculation (2), so we have 2/2 = 1.
Step 5: Simplify the fraction.
Since the numerator and denominator are the same, the fraction simplifies to 1.
Therefore, the final answer is 1.