Using the order of operations, simplify the expression step by step:
23⋅6−(6−4)3
= 23⋅6−(2)3
= 23⋅6−8
= 138−8
= 130
Therefore, the solution is 130.
23⋅6−(6−4)3
= 23⋅6−(2)3
= 23⋅6−8
= 138−8
= 130
Therefore, the solution is 130.
To solve the problem involving exponents, we need to follow the order of operations, also known as PEMDAS (Parentheses, Exponents, Multiplication and Division from left to right, Addition and Subtraction from left to right).
First, let's simplify the expression inside the parentheses:
6 - 4 = 2
Now, let's simplify the exponent:
2^3 = 2 * 2 * 2 = 8
Next, let's substitute the simplified values back into the original expression:
23 * 6 - 8
Now, perform the multiplication:
138 - 8
Finally, subtract:
138 - 8 = 130
Therefore, the solution to the problem is 130.
23⋅6−(6−4)3
First, let's simplify the expression inside the parentheses:
6 - 4 = 2
Now, let's simplify the exponent:
2^3 = 2 * 2 * 2 = 8
Next, substitute the simplified values back into the original expression:
23 * 6 - 8
Now, perform the multiplication:
138 - 8
Finally, subtract:
138 - 8 = 130
Therefore, the correct solution to the problem is 130.
First, let's simplify the expression within the parentheses: 6 - 4 = 2.
Now we have 23⋅6 - 2^3.
Next, we simplify the exponent: 2^3 = 8.
Now we have 23⋅6 - 8.
Multiplication comes next, so we multiply 23 by 6: 23⋅6 = 138.
Now we have 138 - 8.
Finally, we subtract 8 from 138: 138 - 8 = 130.
Therefore, the value of the expression 23⋅6−(6−4)3 is 130.
PEMDAS stands for:
1. Parentheses
2. Exponents
3. Multiplication and Division (from left to right)
4. Addition and Subtraction (from left to right)
Let's break down the expression step by step:
Step 1: Evaluate Exponents
In the given expression, the only exponent is (6-4)^3. So, we need to calculate 6-4 first, which equals 2. Then, we raise 2 to the power of 3, which gives us 8.
Step 2: Parentheses
Now, replace the given expression with the evaluated exponent:
23 ⋅ 6 - 8
Step 3: Multiplication
Next, perform the multiplication operation. Multiply 23 by 6, which equals 138.
Step 4: Subtraction
Finally, subtract 8 from the result of the multiplication:
138 - 8 = 130
Therefore, the solution to the given expression 23⋅6−(6−4)3 is 130.