Exponents and their properties unit test solve the multi step problem 6-4 parentheses three minus one with a small two on top of the one+16
To solve the given expression, use the order of operations, which states that you should solve expressions inside parentheses first, followed by exponents, multiplication, and division (from left to right), and finally addition and subtraction (from left to right).
Start by solving the expression inside the parentheses:
(3 - 1)^2 + 16
Next, simplify the expression inside the parentheses:
2^2 + 16
Continue by solving the exponent:
4 + 16
Finally, perform the addition:
20
Therefore, the value of the expression 6 - 4(3 - 1)^2 + 16 is 20.
To solve the multi-step problem involving exponents, we need to follow the order of operations (also known as PEMDAS). According to PEMDAS, we should solve parentheses first, then exponents, followed by multiplication/division, and finally addition/subtraction.
Let's break down the problem step by step:
1. Start with the expression inside the parentheses: (3 - 1)^2
This expression can be simplified further by subtracting 1 from 3 inside the parentheses.
Therefore, (3 - 1)^2 becomes 2^2.
2. Evaluate the exponent: 2^2
To evaluate an exponent, we need to multiply the base (2) by itself, as many times as the exponent (2) indicates.
So, 2^2 equals 2 * 2, which is 4.
3. Now, we have 6 - 4 + 16.
We can proceed with the addition and subtraction from left to right.
First, subtract 4 from 6: 6 - 4 equals 2.
Then, add 16: 2 + 16 equals 18.
Therefore, the value of the expression 6 - 4^2 + 16 is equal to 18.
To solve the given expression, let's break it down step-by-step:
Step 1: Evaluate the expression inside the parentheses:
6 - 4(3 - 1² + 16)
Step 2: Calculate the value inside the parentheses, considering the exponent first:
6 - 4(3 - 1² + 16)
= 6 - 4(3 - 1 + 16)
Step 3: Solve the addition inside the parentheses:
6 - 4(3 - 1 + 16)
= 6 - 4(2 + 16)
Step 4: Solve the addition inside the parentheses:
6 - 4(2 + 16)
= 6 - 4(18)
Step 5: Calculate the multiplication:
6 - 4(18)
= 6 - 72
Step 6: Solve the subtraction:
6 - 72 = -66
Therefore, the value of the expression is -66.