15⋅8^0/5+4(7^0−6) .
To solve this expression, we need to follow the order of operations (also known as PEMDAS/BODMAS).
First, we solve any operations within parentheses. The expression does not have any parentheses except for 7^0.
Any number raised to the power of 0 is 1. So, 7^0 = 1.
Now the expression becomes:
15⋅8^0/5+4(1−6)
Next, we solve any multiplication or division from left to right. First, we solve 8^0.
8^0 = 1
Now the expression becomes:
15⋅1/5+4(1−6)
Next, we solve any addition or subtraction from left to right. Since there are no addition or subtraction operations remaining, we move to multiplication and division.
15⋅1 = 15
Now the expression becomes:
15/5+4(1−6)
15/5 = 3
Now the expression becomes:
3+4(1−6)
Next, we solve the subtraction inside the parentheses.
1 - 6 = -5
Now the expression becomes:
3+4(-5)
Next, we solve the multiplication.
4 * -5 = -20
Now the expression becomes:
3+(-20)
Finally, we solve the addition.
3 + (-20) = -17
Therefore, the value of the expression 15⋅8^0/5+4(7^0−6) is -17.
To solve this expression step-by-step, we can follow the order of operations (PEMDAS/BODMAS):
Step 1: Start with the exponentiation
8^0 is equal to 1 (any number raised to the power of 0 is 1)
So, the expression becomes: 15⋅1/5+4(7^0−6)
Step 2: Simplify the expression within the parentheses
7^0 is also equal to 1
So, the expression further simplifies to: 15⋅1/5+4(1−6)
Step 3: Perform the subtraction within the parentheses
1−6 is equal to -5
So, the expression now becomes: 15⋅1/5+4(-5)
Step 4: Perform the multiplication
15⋅1 is equal to 15
So, the expression further simplifies to: 15/5+4(-5)
Step 5: Perform the division
15/5 is equal to 3
So, the expression now becomes: 3+4(-5)
Step 6: Perform the multiplication
4(-5) is equal to -20
So, the final simplified expression is: 3 + (-20)
Step 7: Perform the addition
3 + (-20) is equal to -17
Therefore, the value of the expression 15⋅8^0/5+4(7^0−6) is -17.
To simplify this expression, we need to follow the order of operations, which is typically remembered using the acronym 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:
1. Start with the parentheses:
7^0 = 1 (Any number raised to the power of 0 equals 1)
So, you have 7^0 = 1.
2. Simplify the expression within the parentheses:
4(7^0 − 6) becomes 4(1 − 6) = 4(-5) = -20.
3. Move on to exponents:
In the expression, we have 8^0. As mentioned earlier, any number raised to the power of 0 is always equal to 1. Therefore, 8^0 = 1.
4. Continue with the multiplication and division, from left to right:
15 * 8^0 = 15 * 1 = 15.
5. Add the results from steps 4 and 2:
15 + (-20) = -5.
So, the final value of the expression 15⋅8^0/5+4(7^0−6) is -5.