Vocabulary
What is a base?
Number used as a factor in exponential form. (the big number)
4x
When raising a product to a power, distribute the power to ____ factor.
each
(23)4
4096
56/53
53 or 125
How many Laws of exponents are there?
There are 4 Laws-
1.Product of Powers laws
2.Powers of Product laws
3.
4.
What is an exponent?
The number of times the base occurs as a factor.(the small number)
x2
When a nonzero real number is raised to the zero power, a0, its value equals ____. This is called the zero exponent law.
Zero
0.54 x 0.53
.0078125
104/102
102 or 100
Why do you multiply the exponents when raising a power to a power?
Exponent notation represents repeated multiplication
When dividing 2 powers that have the same nonzero base, keep the base and subtract the exponents. What type of law is this called?
Quotient of Powers Exponent Law
When Multiplying 2 Powers that have the same nonzero base, ___ the exponents and keep the same base.
Add
(24/8)1
3
74/71
73 or 343
Why do you subtract the exponents when dividing terms with the same base?
It simplifies the expression by effectively canceling out the common factor
When multiplying 2 powers that have the same nonzero base, add the exponents and keep the same base. What type of law is this called?
Product of Powers Exponent Law
When dividing 2 powers that have the same nonzero base, keep the base and ________ the Exponents. This is called the quotient of powers exponent law.
Subtract
(12 x 0.75)3
729
(-2)6/(-2)3
(-2)3 or -8
What if the exponents are the same but the bases are different?
Multiply the bases together and keep the exponent the same
When raising a power to a power, keep the base and multiply the exponents. Which type of law is this called?
Power of a Power Exponent Law
When raising a fraction to the power, the result is equal to the quotient of the numerator and denominator raised separately to the ____ power. This is called the power of a quotient exponent law.
Same
[(-2)4]2
256
(3)6/(3)2
(3)4 or 81
What is the value of a term with an exponent of zero?
Any non-zero number raised to the power for zero is equal to 1