(1-4)3 over 4-6+3x8
To simplify the expression (1-4)3 over 4-6+3x8, we follow the order of operations (also known as PEMDAS).
First, let's simplify the expression within the parentheses:
(1 - 4) = -3
Now we can rewrite the expression as:
-3 * 3 over 4 - 6 + 3x8
Next, let's simplify the multiplication:
3x8 = 24
Now we can rewrite the expression as:
-3 * 3 over 4 - 6 + 24
Let's simplify the division:
-3 divided by 4 = -3/4
Now we can rewrite the expression as:
-3/4 - 6 + 24
Next, let's simplify the addition and subtraction in order from left to right:
-3/4 - 6 = -21/4
-21/4 + 24 = 79/4
Therefore, the simplified expression is 79/4.
To simplify the expression (1-4)3 over 4-6+3x8, let's break it down step by step:
Step 1: Solve the numerator of the fraction - (1-4)3.
(1-4) is equal to -3 since subtracting 4 from 1 gives us -3.
Therefore, (-3)3 is equal to -9.
Step 2: Solve the denominator of the fraction - 4-6+3x8.
First, let's calculate the value of 3x8, which equals 24.
Now, we can substitute that value back into the expression: 4-6+24.
Next, subtract 6 from 4 to get -2.
Finally, add -2 and 24 to get 22.
So, the value of the denominator is 22.
Step 3: Divide the numerator by the denominator - (-9 / 22).
When dividing a negative number by a positive number, the result is negative.
Therefore, -9 divided by 22 is approximately -0.41.
Thus, the simplified expression is -0.41.
To simplify the expression (1-4)3 over 4-6+3x8, we can follow the order of operations, also known as PEMDAS.
Step 1: Parentheses
There are no parentheses in the given expression.
Step 2: Exponents
There are no exponents in the given expression.
Step 3: Multiplication and Division
Now, we can take care of the multiplication and division operations from left to right.
The expression can be written as:
(-3) * 3 over 4 - 6 + 3 * 8
Now, we can simplify the multiplication:
-9 over 4 - 6 + 3 * 8
Step 4: Addition and Subtraction
Now, we can perform the addition and subtraction operations from left to right.
First, let's simplify the multiplication:
-9 over 4 - 6 + 24
Now, we can perform subtraction and addition:
-9 over 4 - 6 + 24
= (-9/4) - 6 + 24
= -9/4 - 6 + 24/1 (converting whole numbers to fractions)
Now, let's find a common denominator for the fractions involved:
The common denominator for 4 and 1 is 4.
Converting -9/4 into a fraction with a denominator of 4:
-9/4 = -9/4 * 1/1 = -9/4 * 1/1 * 4/4 = -9/4 * 4/4
= -36/16
Now, we can rewrite the expression:
-36/16 - 6 + 24/1
Now, let's add the fractions:
-36/16 - 6 + 24/1 = (-36 - 96 + 384)/16
= 252/16
Step 5: Simplification
Now, we need to simplify the fraction 252/16.
We can find the greatest common divisor (GCD) of the numerator and denominator, which is 4.
Dividing both the numerator and denominator by 4:
252/16 = 63/4
Therefore, the simplified expression of (1-4)3 over 4-6+3x8 is 63/4.