Solve the expression 15•8^0/5 + 4 (7^0 - 6)
To solve this expression, we need to follow the order of operations (also known as PEMDAS):
Step 1: Exponents
8^0 = 1
7^0 = 1
Step 2: Parentheses
7^0 - 6 = 1 - 6 = -5
Step 3: Multiplication and Division (left to right)
15•8^0/5 = 15•1/5 = 15/5 = 3
Step 4: Addition and Subtraction (left to right)
3 + 4*(-5) = 3 - 20 = -17
So the solution to the expression is -17.
To solve this expression step-by-step, follow this:
Step 1: Start by calculating the exponent: 8^0 = 1
Expression becomes: 15 • 1 / 5 + 4 (7^0 - 6)
Simplified: 15 / 5 + 4 (1 - 6)
Step 2: Perform the subtraction in parentheses: 1 - 6 = -5
Expression becomes: 15 / 5 + 4 (-5)
Step 3: Divide 15 by 5: 15 / 5 = 3
Expression becomes: 3 + 4 (-5)
Step 4: Multiply 4 by -5: 4 (-5) = -20
Expression becomes: 3 - 20
Step 5: Subtract 20 from 3: 3 - 20 = -17
Therefore, the solution to the expression 15•8^0/5 + 4 (7^0 - 6) is -17.
To solve this expression, we need to follow the order of operations, which is also known as PEMDAS (Parentheses, Exponents, Multiplication and Division, Addition and Subtraction).
Let's break down the expression step by step:
Step 1: Exponents
Inside parentheses, you only have a single number raised to the power of 0. Any number raised to the power of 0 is always 1. So, (7^0) equals 1.
Step 2: Multiplication and Division
Next, let's focus on the multiplication and division. The expression contains only one multiplication and division operator.
15 • 8^0 / 5
To simplify this, we need to evaluate the exponent first. Since 8^0 equals 1, we can rewrite the expression as:
15 • 1 / 5
Now, we can perform the multiplication:
15 • 1 equals 15
So, the expression becomes:
15 / 5
Step 3: Addition and Subtraction
Lastly, we have the addition and subtraction part of the expression.
4 (7^0 - 6)
Using the previously determined value of (7^0) as 1, we can rewrite the expression as:
4(1 -6)
Inside the parentheses, we have subtraction between 1 and 6, which equals -5. Now, the expression becomes:
4(-5)
Now, let's bring it all together. The final expression is:
15 / 5 + 4(-5)
To simplify further, we calculate the division first:
15 / 5 equals 3
Now the expression becomes:
3 + 4(-5)
Next, we multiply 4 by -5:
4(-5) equals -20
So, the final expression simplifies to:
3 + (-20)
Finally, we add:
3 + (-20) equals -17
Therefore, the answer to the expression 15 • 8^0 / 5 + 4 (7^0 - 6) is -17.