simplify as a whole number 2 to the 2 power x 3 to the third power
To simplify this expression, we first calculate each part of the exponent:
2 to the 2nd power equals 2^2 = 2 * 2 = 4.
3 to the 3rd power equals 3^3 = 3 * 3 * 3 = 27.
Now we can simplify the expression:
2^2 * 3^3 = 4 * 27 = 108.
Therefore, the simplified expression is 108.
Which expressions are equivalent to 6m + 18
There are several expressions that are equivalent to 6m + 18. Some examples include:
1. 18 + 6m
2. 6(m + 3)
3. 6m + 9 + 9
4. 3(2m + 6)
These expressions are all equivalent to 6m + 18 as they represent the same value, but they may be written in different forms.
A group of friends are going bowling.
The bowling alley charges $2 per person for shoes plus a fee of $15 for the lane.
Write an expression to find the total cost of the bowling trip for (f) friends.
The expression to find the total cost of the bowling trip for (f) friends can be written as:
2f + 15
Explanation:
The cost per person for shoes is $2, so for (f) friends, the cost for shoes would be 2 times the number of friends, which is 2f.
The lane fee is a flat rate of $15.
Therefore, the total cost for the bowling trip would be the cost for shoes (2f) plus the lane fee ($15), giving us the expression 2f + 15.
Simplify
- 1/5r+3-2/5r-6
To simplify the expression -1/5r + 3 - 2/5r - 6, we can combine like terms by adding or subtracting the coefficients of the same variable.
First, let's combine the terms containing the variable 'r':
-1/5r - 2/5r = -3/5r
Next, let's combine the constant terms:
3 - 6 = -3
Therefore, the simplified expression is -3/5r - 3.
simplify−9q+5−10+6q
To simplify the expression -9q + 5 - 10 + 6q, we combine like terms by adding or subtracting the coefficients of the same variable.
Combining the q terms first:
-9q + 6q = -3q
Combining the constant terms:
5 - 10 = -5
Therefore, the simplified expression is -3q - 5.
Use the distributive property to expand
8(3p+2)
To expand the expression 8(3p + 2) using the distributive property, we distribute the 8 to each term inside the parentheses:
8 * 3p = 24p
8 * 2 = 16
Therefore, the expanded form of 8(3p + 2) is 24p + 16.
Use the distributive property to expand
3/8(-8 - 2y)
To expand the expression 3/8(-8 - 2y) using the distributive property, we distribute the 3/8 to each term inside the parentheses:
3/8 * -8 = -24/8 = -3
3/8 * -2y = -6/8y = -3/4y
Therefore, the expanded form of 3/8(-8 - 2y) is -3 - 3/4y.
Simplify the expression.
3(-1x-4)+15
To simplify the expression 3(-1x - 4) + 15, we can apply the distributive property to remove the parentheses:
3 * -1x = -3x
3 * -4 = -12
Therefore, the expression becomes:
-3x - 12 + 15
Next, we can combine the constant terms:
-12 + 15 = 3
Therefore, the simplified expression is:
-3x + 3.
Find the GCF of 20x − 4
To find the Greatest Common Factor (GCF) of the terms 20x and -4, we need to factorize both terms.
The factors of 20x are:
20x = 2 * 2 * 5 * x
The factors of -4 are:
-4 = -1 * 2 * 2
Now we can identify the common factors in both terms:
20x: 2 * 2
-4: 2 * 2
The GCF is the product of these common factors:
GCF = 2 * 2 = 4
Therefore, the GCF of 20x and -4 is 4.
Factor 8a − 28 using the GCF
To factor 8a - 28 using the Greatest Common Factor (GCF), we first need to find the GCF of the two terms.
The factors of 8a are:
8a = 2 * 2 * 2 * a
The factors of 28 are:
28 = 2 * 2 * 7
Now, let's identify the common factors in both terms:
8a: 2 * 2
28: 2 * 2
The GCF is the product of these common factors:
GCF = 2 * 2 = 4
To factor out 4 from both terms:
8a - 28 = 4 * (2a - 7)
Therefore, the factored form of 8a - 28 is 4(2a - 7).
simplify and answer
8x-2(4+3x
To simplify the expression 8x - 2(4 + 3x), we can distribute the -2 to each term inside the parentheses:
-2 * 4 = -8
-2 * 3x = -6x
Therefore, the expression becomes:
8x - 8 - 6x
Now, we can combine like terms:
(8x - 6x) - 8 = 2x - 8
Therefore, the simplified expression is 2x - 8.