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Example Questions
Example Question #1 : How To Add Exponents
For all x, 2x2 times 12x3 equals...
14x5
14x6
0
24x6
24x5
24x5
You multiply the integers, then add the exponents on the x's, giving you 24x5.
Example Question #32 : Exponential Operations
Multiply: 2x² * 3x
2x3
6x²
5x
5x3
6x3
6x3
When multiplying exponents you smiply add the exponents.
For 2x² times 3x, 2 times 3 is 6, and 2 + 1 is 3, so 2x² times 3x = 6x3
Example Question #3 : How To Add Exponents
What is 23 + 22 ?
12
32
20
64
12
Using the rules of exponents, 23 + 22 = 8 + 4 = 12
Example Question #33 : Exponential Operations
Solve for where:
9
2
1
3
5
1
The only value of x where the two equations equal each other is 1. All you have to do is substitute the answer choices in for x.
Example Question #5 : How To Add Exponents
A particle travels 9 x 107 meters per second in a straight line for 12 x 10-6 seconds. How many meters has it traveled?
1.08 x 105
1.08 x 10
1.08 x 103
1.08
1.08 x 103
Multiplying the two numbers yields 1080. Expressed in scientific notation 1080 is 1.08 x 103.
Example Question #1 : How To Add Exponents
Simplify: hn + h–2n
h–2n = 1/h2n
hn + h–2n = hn + 1/h2n
Example Question #1 : How To Add Exponents
Simplify: 3y2 + 7y2 + 9y3 – y3 + y
10y2 + 8y3 + y
10y2 + 10y3 + y
19y11
10y2 + 9y3
10y4 + 8y6 + y
10y2 + 8y3 + y
Add the coefficients of similar variables (y, y2, 9y3)
3y2 + 7y2 + 9y3 – y3 + y =
(3 + 7)y2 + (9 – 1)y3 + y =
10y2 + 8y3 + y
Example Question #2231 : Act Math
Simplify the following:
When common variables have exponents that are multiplied, their exponents are added. So K3 * K4 =K(3+4) = K7. And M6 * M2 = M(6+2) = M8. So the answer is K7/M8.
Example Question #1 : How To Add Exponents
Solve for :
First, reduce all values to a common base using properties of exponents.
Plugging back into the equation-
Using the formula
We can reduce our equation to
So,
Example Question #1 : How To Add Exponents
Simplify: y3x4(yx3 + y2x2 + y15 + x22)
y4x7 + y5x6 + y18x4 + y3x26
y3x12 + y12x8 + y24x4 + y3x23
y3x12 + y6x8 + y45x4 + y3x88
2x4y4 + 7y15 + 7x22
y3x12 + y6x8 + y45 + x88
y4x7 + y5x6 + y18x4 + y3x26
When you multiply exponents, you add the common bases:
y4 x7 + y5x6 + y18x4 + y3x26
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