Calculate the following, leaving your answer as a fraction (lowest) or in decimal form.
4(2+1)²
--------
3(1)²
I'll be glad to check your answer.
Well first you need to do whats inside the parentheses first because of order of operations.
Lets take the denominator (top half) first.
4(2+1)^2
2=1=3
3^2=9
9x4=36
_______
Now take the second half.
(1)^2= 1
3x1=3
Now since it's in a fraction from 36 over 3, you simply divide the two numbers.
36/3 gives you a final answer of 12.
To solve this expression, you need to follow the order of operations, which is also known as PEMDAS (Parentheses, Exponents, Multiplication and Division - from left to right, Addition and Subtraction - from left to right).
Let's break it down step by step:
Step 1: Simplify inside the parentheses.
Inside the parentheses, we have (2+1), which equals 3. So, the expression becomes:
4(3)²
------
3(1)²
Step 2: Solve the exponents.
The exponent here is ² (squared). To evaluate it, we multiply the number by itself. So, 3² is equal to 3 multiplied by 3, which is 9. The expression now becomes:
4(9)
-----
3(1)²
Step 3: Calculate the multiplications.
Multiply 4 by 9, which gives 36, and multiply 3 by 1, which is 3. The expression is now:
36
---
3
Step 4: Simplify the fraction.
To simplify the fraction, divide the numerator (36) by the denominator (3):
36 ÷ 3 = 12
Therefore, the answer to the expression 4(2+1)² / 3(1)² is:
12
So the answer to the original expression is 12, either as a simplified fraction or a decimal.