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Zero Exponent-A non-zero number that is put to the zero power always equals 1

Power of a Product Property-(xy)a=xa · ya

Monomial-One term that is expressed as a real number, a variable, a product or quotient.

Power of Power Property-The property that allows you to multiply the exponents (xa)b to get xab

Addition Property-For all real numbers a,b,and c:if a=b then a+c=b+c

Base-In x³, x is called the base

Negative Exponent- The rule that allows you to change the sign of a exponent

Product of Powers-xa ·xb= xa+b

Quotient of Powers-This property says that xa divided by xb equals xa-b

Quotient-xa/xb=xa-b

Scientific Notation-This is shorthand way of writing very large or very small numbers, in which a number is expressed as a number between 1 and 10, times 10 raised to an exponent

Cube Root-when a number is to the power of 3

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5² | = 25
3⁻² |=  1/9
1/3⁻² | = 9
2⁴ | = 16

4² | = 16
4⁻³ | =1/64
5⁻² |= 1/25
4³ | =64
7⁻² |= 1/49
9²  =81

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a quantity representing the power to which a given number or expression is raised to, usually expressed as a raised symbol beside the number or expression.

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(2⁻⁵)(2²)(4³)
2
Step 1- (2⁻⁵)=0.03125
Step 2- (2²)=4
Step 3-(4³)=64
Step 4- 64 x 4 x 0.03125=8
Step 5= 8/2= 4

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(3 + 2)⁻³
4-2
Step 1- 3+2= 5
Step 2- 5⁻³=125
Step 3- 4⁻²=16
Step 4- Find the reciprocal= 16/125
*In this problem you have to change your negative exponent to a positive exponent

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Rule #1- 10⁰=1
Anything to the power of zero equals 1.
Rule #2- 10¹=10
Anything to the power of 1 equals itself
Rule #3= 4³=64
4 · 4 ·4= 64

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3

5-2
Step 1-(5⁻²)=0.04
Step 2= 3/0.04= 75

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Apply the properties of integer exponents to identify all of the expressions equivalent to 1/32.
2⁻⁵
1/2 ⁵
2 ⁴/2 ⁹
2 ²+2⁻⁷
2 ⁵ x 2⁻¹⁰

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4³ · 4-6
Step 1- Combine terms
Keep the base of 4
combine 3 and -6
This equals=4⁻³

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8(12+4)⁰-4(8+3)⁰
Step 1-(12+4)=16
Step 2- (8+3)=11
Step 3-16⁰=1
Step 4-11⁰=1
Step 5- 8 · 1= 8
Step 6- 4 · 1= 4
Step 7- 8-4= 4

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20
5·2-3
Step 1- 2⁻³= 0.125
Step 2- 0.125 · 5= 0.625
Step 3-20/0.625= 32