What is (-3) (-3) (-3) (-3) expressed using exponents? (1point)
13 answers
(-3) (-3) (-3) (-3) can be expressed as (-3)^4.
Evaluate the expression (8/2) + 2^3 -5.
To evaluate the expression (8/2) + 2^3 - 5, we follow the order of operations (PEMDAS).
First, we simplify within parentheses: (8/2) + 2^3 - 5 becomes 4 + 2^3 - 5.
Next, we calculate the exponent: 2^3 is equal to 2 * 2 * 2, which equals 8.
Now, we can substitute this back into the expression: 4 + 8 - 5.
Finally, we perform addition and subtraction from left to right: 4 + 8 gives us 12, and 12 - 5 equals 7.
Therefore, the evaluation of the expression (8/2) + 2^3 - 5 is 7.
First, we simplify within parentheses: (8/2) + 2^3 - 5 becomes 4 + 2^3 - 5.
Next, we calculate the exponent: 2^3 is equal to 2 * 2 * 2, which equals 8.
Now, we can substitute this back into the expression: 4 + 8 - 5.
Finally, we perform addition and subtraction from left to right: 4 + 8 gives us 12, and 12 - 5 equals 7.
Therefore, the evaluation of the expression (8/2) + 2^3 - 5 is 7.
What is the expression 17 x 2 - 4^2 + 6 in simplest form?
To simplify the expression 17 x 2 - 4^2 + 6, we follow the order of operations (PEMDAS).
First, we calculate the exponent: 4^2 is equal to 4 * 4, which equals 16.
Now, we can substitute this back into the expression: 17 x 2 - 16 + 6.
Next, we perform multiplication and addition/subtraction from left to right: 17 x 2 gives us 34, and 34 - 16 + 6 equals 24.
Therefore, the expression 17 x 2 - 4^2 + 6 simplifies to 24 in simplest form.
First, we calculate the exponent: 4^2 is equal to 4 * 4, which equals 16.
Now, we can substitute this back into the expression: 17 x 2 - 16 + 6.
Next, we perform multiplication and addition/subtraction from left to right: 17 x 2 gives us 34, and 34 - 16 + 6 equals 24.
Therefore, the expression 17 x 2 - 4^2 + 6 simplifies to 24 in simplest form.
Solve the multi step problem (1/2) x 4^2 - (4-6)/2.
To solve the multi-step problem (1/2) x 4^2 - (4-6)/2, we follow the order of operations (PEMDAS).
First, we calculate the exponent: 4^2 is equal to 4 * 4, which equals 16.
Now, we can substitute this back into the expression: (1/2) x 16 - (4 - 6)/2.
Next, we simplify within parentheses: (4 - 6) is equal to -2.
Now, we can substitute this back into the expression: (1/2) x 16 - (-2)/2.
Within the same step, we simplify (1/2) x 16, which is equal to 8.
Now, we can substitute this back into the expression: 8 - (-2)/2.
Next, we perform division: -2/2 is equal to -1.
Now, we can substitute this back into the expression: 8 - (-1).
Finally, we perform subtraction: 8 - (-1) is equal to 9.
Therefore, the solution to the multi-step problem (1/2) x 4^2 - (4-6)/2 is 9.
First, we calculate the exponent: 4^2 is equal to 4 * 4, which equals 16.
Now, we can substitute this back into the expression: (1/2) x 16 - (4 - 6)/2.
Next, we simplify within parentheses: (4 - 6) is equal to -2.
Now, we can substitute this back into the expression: (1/2) x 16 - (-2)/2.
Within the same step, we simplify (1/2) x 16, which is equal to 8.
Now, we can substitute this back into the expression: 8 - (-2)/2.
Next, we perform division: -2/2 is equal to -1.
Now, we can substitute this back into the expression: 8 - (-1).
Finally, we perform subtraction: 8 - (-1) is equal to 9.
Therefore, the solution to the multi-step problem (1/2) x 4^2 - (4-6)/2 is 9.
Solve the multi-step problem (3/6 x 12)^2 - (2 -3)^3.
To solve the multi-step problem (3/6 x 12)^2 - (2 -3)^3, we follow the order of operations (PEMDAS).
First, we simplify within parentheses: (2 - 3) is equal to -1.
Now, we can substitute this back into the expression: (3/6 x 12)^2 - (-1)^3.
Next, we simplify the fraction: 3/6 reduces to 1/2.
Now, we can substitute this back into the expression: (1/2 x 12)^2 - (-1)^3.
Within the same step, we simplify 1/2 x 12, which is equal to 6.
Now, we can substitute this back into the expression: 6^2 - (-1)^3.
Next, we calculate the exponent: (-1)^3 is equal to -1.
Now, we can substitute this back into the expression: 6^2 - (-1).
Within the same step, we calculate the exponent: 6^2 is equal to 36.
Now, we can substitute this back into the expression: 36 - (-1).
Finally, we perform subtraction: 36 - (-1) is equal to 37.
Therefore, the solution to the multi-step problem (3/6 x 12)^2 - (2 -3)^3 is 37.
First, we simplify within parentheses: (2 - 3) is equal to -1.
Now, we can substitute this back into the expression: (3/6 x 12)^2 - (-1)^3.
Next, we simplify the fraction: 3/6 reduces to 1/2.
Now, we can substitute this back into the expression: (1/2 x 12)^2 - (-1)^3.
Within the same step, we simplify 1/2 x 12, which is equal to 6.
Now, we can substitute this back into the expression: 6^2 - (-1)^3.
Next, we calculate the exponent: (-1)^3 is equal to -1.
Now, we can substitute this back into the expression: 6^2 - (-1).
Within the same step, we calculate the exponent: 6^2 is equal to 36.
Now, we can substitute this back into the expression: 36 - (-1).
Finally, we perform subtraction: 36 - (-1) is equal to 37.
Therefore, the solution to the multi-step problem (3/6 x 12)^2 - (2 -3)^3 is 37.
(3/6 x 12)^2 - (2 - 3)^3.
To solve the expression (3/6 x 12)^2 - (2 - 3)^3, we simplify it step by step following the order of operations (PEMDAS).
First, we simplify within parentheses: (2 - 3) = -1.
So, the expression becomes (3/6 x 12)^2 - (-1)^3.
Next, we simplify the multiplication: (3/6 x 12) = 1/2 x 12 = 6.
Now, the expression is 6^2 - (-1)^3.
Calculating the exponent, we have (-1)^3 = -1.
The expression is now 6^2 - (-1).
Continuing, we simplify the exponent: 6^2 = 36.
So, the expression is 36 - (-1).
Finally, we perform the subtraction: 36 - (-1) = 36 + 1 = 37.
Therefore, the solution to the expression (3/6 x 12)^2 - (2 - 3)^3 is 37.
First, we simplify within parentheses: (2 - 3) = -1.
So, the expression becomes (3/6 x 12)^2 - (-1)^3.
Next, we simplify the multiplication: (3/6 x 12) = 1/2 x 12 = 6.
Now, the expression is 6^2 - (-1)^3.
Calculating the exponent, we have (-1)^3 = -1.
The expression is now 6^2 - (-1).
Continuing, we simplify the exponent: 6^2 = 36.
So, the expression is 36 - (-1).
Finally, we perform the subtraction: 36 - (-1) = 36 + 1 = 37.
Therefore, the solution to the expression (3/6 x 12)^2 - (2 - 3)^3 is 37.
(3/9 x 12)^2 - (2 - 3)^3.
To solve the expression (3/9 x 12)^2 - (2 - 3)^3, we simplify it step by step following the order of operations (PEMDAS).
First, we simplify within parentheses: (2 - 3) = -1.
So, the expression becomes (3/9 x 12)^2 - (-1)^3.
Next, we simplify the multiplication: (3/9 x 12) = 1/3 x 12 = 4.
Now, the expression is 4^2 - (-1)^3.
Calculating the exponent, we have (-1)^3 = -1.
The expression is now 4^2 - (-1).
Continuing, we simplify the exponent: 4^2 = 16.
So, the expression is 16 - (-1).
Finally, we perform the subtraction: 16 - (-1) = 16 + 1 = 17.
Therefore, the solution to the expression (3/9 x 12)^2 - (2 - 3)^3 is 17.
First, we simplify within parentheses: (2 - 3) = -1.
So, the expression becomes (3/9 x 12)^2 - (-1)^3.
Next, we simplify the multiplication: (3/9 x 12) = 1/3 x 12 = 4.
Now, the expression is 4^2 - (-1)^3.
Calculating the exponent, we have (-1)^3 = -1.
The expression is now 4^2 - (-1).
Continuing, we simplify the exponent: 4^2 = 16.
So, the expression is 16 - (-1).
Finally, we perform the subtraction: 16 - (-1) = 16 + 1 = 17.
Therefore, the solution to the expression (3/9 x 12)^2 - (2 - 3)^3 is 17.
1 answer