Solve the expression 15⋅8^0/5 +4(7^0−6) .(1 point)
To simplify the expression, we follow the order of operations:
First, we calculate any exponentiation. In this case, we have 8^0 and 7^0. Any number raised to the power of 0 is always 1.
So, 8^0 = 1 and 7^0 = 1.
Next, we perform any multiplication and division from left to right. We have:
15 ⋅ 8^0 / 5 + 4(7^0 - 6).
Now, we substitute the values we obtained earlier:
15 ⋅ 1 / 5 + 4(1 - 6).
Next, we simplify any addition and subtraction from left to right:
15 / 5 + 4(1 - 6).
Now, we simplify inside the parentheses:
15 / 5 + 4(-5).
Next, we perform multiplication and division from left to right:
3 + 4(-5).
Now, we multiply 4 by -5:
3 + (-20).
Finally, we add the two terms:
3 - 20 = -17.
Therefore, the solution is -17.
To solve the expression 15⋅8^0/5 + 4(7^0−6), follow the order of operations (also known as PEMDAS):
Step 1: Evaluate the exponents
- 8 raised to the power of 0 equals 1.
- 7 raised to the power of 0 also equals 1.
The expression now becomes: 15⋅1/5 + 4(1 − 6)
Step 2: Solve the multiplication and division from left to right
- 15 multiplied by 1 equals 15.
- 15 divided by 5 equals 3.
The expression now becomes: 3 + 4(1 − 6)
Step 3: Evaluate the subtraction
- 1 minus 6 equals -5.
The expression now becomes: 3 + 4(-5)
Step 4: Solve the multiplication
- 4 multiplied by -5 equals -20.
The final solution is: 3 + (-20)
Step 5: Add the remaining terms
- 3 + (-20) equals -17.
Therefore, the solution to the expression 15⋅8^0/5 + 4(7^0−6) is -17.
To solve the expression 15⋅8^0/5 + 4(7^0−6), we need to follow the order of operations, which is known as PEMDAS (Parentheses, Exponents, Multiplication and Division from left to right, and Addition and Subtraction from left to right).
Let's break down the expression step by step.
Step 1: Evaluate the exponentiation.
8^0 means 8 raised to the power of 0, which is equal to 1.
7^0 means 7 raised to the power of 0, which is also equal to 1.
Now the expression becomes:
15⋅1/5 + 4(1−6)
Step 2: Simplify the multiplication and division from left to right.
15⋅1/5 = 15/5 = 3
Now the expression becomes:
3 + 4(1−6)
Step 3: Simplify the subtraction inside the parentheses.
1−6 = -5
Now the expression becomes:
3 + 4(-5)
Step 4: Simplify the multiplication.
4(-5) = -20
Now the expression becomes:
3 + (-20)
Step 5: Simplify the addition.
3 + (-20) = -17
Therefore, the solution to the expression 15⋅8^0/5 + 4(7^0−6) is -17.
are you sure?
Apologies for the previous incorrect response.
Let's correct it and solve the expression correctly.
The expression is 15⋅8^0/5 + 4(7^0−6).
Step 1: Evaluate the exponentiation.
8^0 means 8 raised to the power of 0, which is equal to 1.
7^0 means 7 raised to the power of 0, which is also equal to 1.
Now the expression becomes:
15⋅1/5 + 4(1−6)
Step 2: Simplify the multiplication and division from left to right.
15⋅1/5 = 15/5 = 3
Now the expression becomes:
3 + 4(1−6)
Step 3: Simplify the subtraction inside the parentheses.
1−6 = -5
Now the expression becomes:
3 + 4(-5)
Step 4: Simplify the multiplication.
4(-5) = -20
Now the expression becomes:
3 + (-20)
Step 5: Simplify the addition.
3 + (-20) = -17
Therefore, the solution to the expression 15⋅8^0/5 + 4(7^0−6) is indeed -17.