Solve the expression 15•8^0/5 + 4(7^0 - 6)
To solve this expression step-by-step, we'll follow the order of operations (PEMDAS), which stands for Parentheses, Exponents, Multiplication and Division (from left to right), and Addition and Subtraction (from left to right).
1. Start by simplifying the exponents first:
- 8^0 = 1 (Any number raised to the power of 0 equals 1)
- 7^0 = 1
Now our expression becomes: 15•1/5 + 4(1 - 6)
2. Next, we perform the multiplication/division from left to right:
- 15•1 = 15
Our expression becomes: 15/5 + 4(1 - 6)
3. Continue by simplifying the parentheses:
- 1 - 6 = -5
Our expression becomes: 15/5 + 4(-5)
4. Now, perform the remaining multiplication/division from left to right:
- 15/5 = 3 (Division)
- 4*(-5) = -20 (Multiplication)
Our expression becomes: 3 + (-20)
5. Finally, perform the addition:
- 3 + (-20) = -17
Therefore, the final answer is -17.
To solve this expression, we will follow the order of operations, which is parentheses, exponents, multiplication/division (from left to right), and addition/subtraction (from left to right).
Let's break it down step by step:
Step 1: Evaluate any exponents
In this expression, the only exponent is 8^0. Any number raised to the power of 0 is equal to 1.
So, 8^0 = 1
Now, the expression becomes:
15•1/5 + 4(7^0 - 6)
Step 2: Perform any multiplication or division
We have two multiplication operations: 15•1 and 4(7^0 - 6).
15•1 = 15
Now, the expression becomes:
15/5 + 4(7^0 - 6)
Step 3: Simplify any addition or subtraction within parentheses
Inside the parentheses, we have 7^0 - 6. Again, any number raised to the power of 0 is equal to 1.
So, 7^0 = 1.
Now, the expression becomes:
15/5 + 4(1 - 6)
Step 4: Perform any addition or subtraction within parentheses
Now, we can simplify 1 - 6, which equals -5.
Now, the expression becomes:
15/5 + 4(-5)
Step 5: Perform any remaining multiplication or division
We have only one remaining division operation: 15/5 = 3.
Now, the expression becomes:
3 + 4(-5)
Step 6: Perform any remaining addition or subtraction
3 + 4(-5) = 3 - 20 = -17
Therefore, the expression 15•8^0/5 + 4(7^0 - 6) simplifies to -17.
To solve the given expression, follow the order of operations (also known as PEMDAS/BODMAS) step-by-step:
Step 1: Exponents
First, evaluate any exponents in the expression:
8^0 = 1
7^0 = 1
Now the expression becomes:
15 • 1 / 5 + 4(1 - 6)
Step 2: Parentheses
Next, simplify any expressions within parentheses:
4(1 - 6) = 4(-5) = -20
The expression becomes:
15 • 1 / 5 - 20
Step 3: Multiplication and Division
Apply the multiplication and division operations from left to right:
15 • 1 = 15
15 / 5 = 3
The expression becomes:
3 - 20
Step 4: Addition and Subtraction
Finally, perform the subtraction to get the solution:
3 - 20 = -17
Therefore, the solution to the given expression is -17.