Operations in Scientific Notation
Vocabulary
Exponential/Scientific Notation
Laws of Exponents
Square Roots/Cube Roots
100
(6.4 x 10^13) x (2 x 10^8)
1.28 x 10^22
100
In a power, the number that is a common factor
What is a base?
100
Put in exponential notation: 5 x 5 x 5 x 5 x 5 x c x c x c x c =
(5^5)(c^4)
100
Simplify and state which law you are using: [(k^4)^9]^3
k^108 Power of a Power
100
What is the square root of 169?
What is 13?
200
(9 x 10^15) __________ (3 x 10^3)
3 x 10^12
200
A rational number whose cube root is a whole number.
What is a perfect cube?
200
Put in exponential notation: -9 x -9 x -9 x -r x -r x c x 3 x -3 x -3
[(-9)^3][(-r)^2](c)(3)[(-3)^2]
200
Simplify and state which law you are using: (9g)^74
(9^74)(g^74) Power of a Product
200
What is the cube root of 64?
What is 4?
300
(1.4 x 10^42) + (5.31 x 10^40)
1.4531 x 10^42
300
In a power, the number of times that the base is used as a factor.
What is an exponent?
300
Write in scientific notation: 4492800490000000
4.49280049 x 10^15
300
Simplify and state which law you are using: (9^5) x (9^569) =
9^574 Multiplication or Product of Powers
300
What is the square root of 225?
What is 15?
400
(9.34 x 10^78) - (7.23 x 10^76)
9.2677 x 10^78
400
Number that can be written as the ratio of two integers in which the denominator is not zero
What is a rational number?
400
Put in scientific notation: .002000045
2.000045 x 10^-3
400
Simplify and state which law you are using: (4^-9)(b^2) ___________ (4^5)(b^-8)
(4^-14)(b^10) Division or Quotient of Powers
400
What is the cube root of 8000?
What is 20?
500
(7.31 x 10^17) x (7.23 x 10^17)
5.28513 x 10^35
500
A product of repeated factors using an exponent and a base
What is a power?
500
Put in scientific notation: 7874.31 x 10^67
7.87431 x 10^70
500
Simplify and state which laws you are using: (5^6) x (5^5) x [(7^5)^9]
(5^11) x (7^45) Multiplication (Product of a Power) AND Power of a Power
500
What is the square root of 361?
What is 19?
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