VOCAB
Understanding the properties
Prime Factorization
Using the properties
True or False
100
In the expression 10^3, 10 is called the______
What is base
100
B^a * B^c = B^ ??
What is a + c
100
A number is divisible by ____ if the last digit is 0 or 5.
What is 5
100
Simplify the following expression by writing it in exponential notation: 6^4 * 6^3.
What is 6^7
100
24^3 = 2*4*4*4
What is False; 24^3 = 24*24*24
200
In the expression 7^4, 4 is the __________
What is exponent
200
B^a / B^c = B ^ ??
What is a-c
200
A number is divisible by ____ if the sum of the digits is divisible by 3.
What is 3
200
Simplify the following expression by writing it in exponential notation: 72^20 * 72^4
What is 72^24
200
(-2)^4 = (-2) * (-2) * (-2) * (-2)
What is True
300
A number written as the product of its prime factors.
What is prime factorization.
300
When you find the product of two algebraic expressions with the same base, you can add their exponents and use the sum as the exponent with the same base. This is the ______property
What is product of powers
300
81 = 3*3*3*3. What would this look like in exponential notation?
What is 3^4
300
Simplify the following expression by writing it in exponential notation: 2^9 / 2^6.
What is 2^3
300
(3^2)^5 = 3^10
What is True
400
The product of repeated multiplication of the same factor. Example: 10^2 and a^7 are examples of ________. The number 10^2 can be read as "10 raised to the second____"
What is power
400
When you find the quotient of two algebraic expressions with the same base, you can subtract the exponents and use the difference as the exponent with the same base. This is the ___________property.
What is quotient of powers
400
Find the prime factorization of 1,470
What is 2*3*5*7^2
400
y^8 / y^3
What is y^5
400
6^4 * 6^12 = 36^48
What is False, it equals 6^16
500
Notation used to write a number as a base raised to an exponent.
What is exponential notation
500
When you raise a power to a power, keep the base and multiply the exponents. This is called the ________ property.
What is power of powers.
500
Find the prime factorization of 91,125
What is 3^6 * 5^3
500
Simplify the following expression by writing it in exponential notation: (3^4)^7
What is 3^28
500
[(7^5)^3] * [(7^5)^3] = (7^5)^6 = (7^11)
What is FALSE; should = (7^30)
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