For the given expression, this means calculating the power before before performing the other operations.
5^2* (- 3)-4* 6+7
Let's do it!
Operation
Before Simplification
After Simplification
Calculate power
5^2* (- 3)-4* 6+7
25* (- 3)-4* 6+7
Multiply
25* ( - 3)- 4* 6+7
- 75- 24+7
Add terms
- 75- 24+ 7
- 75- 17
Subtract terms
- 75- 17
- 92
The expression is equal to - 92.
Alternative Solution
Using a Calculator
We can also evaluate this expression using a calculator. To do so, we type it as shown below.
According to the order of operations, expressions inside parentheses are evaluated first, followed by exponents, then multiplication and division, and finally addition and subtraction are evaluated last. We can use the acronym PEMDAS to help us remember the correct order!
For the given expression, this means evaluating the expression inside the parentheses completely before calculating the product.
-3(6+4* 2)
Notice also that even within this parenthetical expression, we must follow the order of operations.
6+4* 2
Let's do it!
Operation
Before Simplification
After Simplification
MUltiply
-3(6+ 4* 2)
-3(6+ 8)
Add terms
-3( 6+ 8)
-3( 14)
Multiply
-3( 14)
- 42
The expression is equal to - 42.
Alternative Solution
Using a Calculator
We can also evaluate this expression using a calculator. To do so, we type it as shown below.
According to the order of operations, expressions inside parentheses are evaluated first, followed by exponents, then multiplication and division, and finally addition and subtraction are evaluated last. We can use the acronym PEMDAS to help us remember the correct order!
For the given expression, this means performing division before addition and subtraction.
9+8÷(- 4)-12
Let's do it!
Operation
Before Simplification
After Simplification
Multiply
9+ 8÷( - 4)-12
9+( - 2)-12
Add terms
9+( - 2)-12
7-12
Subtract term
7- 12
- 5
The expression is equal to - 5.
Alternative Solution
Using a Calculator
We can also evaluate this expression using a calculator. To do so, we type it as shown below.
According to the order of operations, expressions inside parentheses are evaluated first, followed by exponents, then multiplication and division, and finally addition and subtraction are evaluated last. We can use the acronym PEMDAS to help us remember the correct order!
For the given expression, this means evaluating the expression inside the parentheses completely before calculating the power.
2^3-3* 4+6(- 1+2)
Notice also that even within this parenthetical expression, we must follow the order of operations.
- 1+2
Let's do it!
Operation
Before Simplification
After Simplification
Multiply
2^3-3* 4+6( - 1+ 2)
2^3-3* 4+6( 1)
Calculate power
2^3-3* 4+6(1)
8-3* 4+6(1)
Multiply
8- 3* 4+ 6( 1)
8- 12+ 6
Add terms
8- 12+ 6
8- 6
Subtract term
8- 6
2
The expression is equal to 2.
Alternative Solution
Using a Calculator
We can also evaluate this expression using a calculator. To do so, we type it as shown below.
According to the order of operations, expressions inside parentheses are evaluated first, followed by exponents, then multiplication and division, and finally addition and subtraction are evaluated last. We can use the acronym PEMDAS to help us remember the correct order!
For the given expression, this means evaluating the expression inside the parentheses completely before calculating the power.
4+(3+4)^2
Notice also that even within this parenthetical expression, we must follow the order of operations.
3+4
Let's do it!
Operation
Before Simplification
After Simplification
Add terms
4+( 3+ 4)^2
4+( 7)^2
Calculate power
4+(7)^2
4+ 49
Add terms
4+ 49
53
The expression is equal to 53.
Alternative Solution
Using a Calculator
We can also evaluate this expression using a calculator. To do so, we type it as shown below.
According to the order of operations, expressions inside parentheses are evaluated first, followed by exponents, then multiplication and division, and finally addition and subtraction are evaluated last. We can use the acronym PEMDAS to help us remember the correct order!
For the given expression, this means evaluating the expression in the numerator completely before simplifying the fraction.
8-13/10
Let's do it!
Operation
Before Simplification
After Simplification
Subtract term
8- 13/10
- 5/10
Simplify fraction
- 5/10
- 0.5
The expression is equal to - 0.5.
Alternative Solution
Using a Calculator
We can also evaluate this expression using a calculator. To do so, we type it as shown below.
