Final answer:
The solution to the expression 3/4 (4x3)+2³ is 17. You first multiply 4 by 3, then take three-fourths of that result, and finally, add it to the cube of 2.
Step-by-step explanation:
The question asks to solve the mathematical expression 3/4 (4x3)+2³. To solve this, we need to apply the order of operations, also known as PEMDAS (Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right)).
Firstly, let's tackle the parentheses and the exponent:
4x3 = 12, so we have 3/4 of 12 which is 3/4 * 12 = 9.
Next, we take care of the exponent: 2³ = 2*2*2 = 8.
Now, our expression looks like this: 9 + 8, which is a straightforward addition.
Adding these together, we get 9 + 8 = 17.
Therefore, the solution to the expression 3/4 (4x3)+2³ is 17.