The Basics
A certain part of the Term (i.e. 10^3) has to be kept the same in order for the exponent to multiply, divide, add, or subtract.
Base
What operation is happening between the exponent?
Addition
The operation happening between the exponents
Multiplication
The operation happening between the exponents
Subtraction
The 2 step process to convert a negative exponent
1. Put one over the term/turn it into a fraction 2. Remove the negative from the exponent
Write each expression using an exponent:
1* (4/5)*(4/5)*(4/5)*(4/5)*(4/5)*(4/5)
(4/5)^6
5^3 * 5^6
5^9
(6^9)^3
6^12
(12^16)/ (12^12)
12^4
6^-5
1/(6^5)
Evaluate the following:
25
33
32
27
(3^6)*(3^-8)
Simply to its simplest form
1/(3^2)
The power rule is used when
Provide an example
You have an exponent on the outside of the term.
The symbol that lets you know that you are solving a problem with the quotient rule
/ or _
Convert 4.2 × 10^–7 to decimal notation
0.00000042
The role of an exponent
It tells us how many times we have to multiply the number to itself
(j^13)(j^4)(j^6)
Simplify to its simplest form
1/(j^3)
((r^6)^8)/((r^3)^9)
r^21
(10^5)/(10^7)
Simply to its simplest form
1/(10^2)
(4^-7)/(4^-6)
Simply to its simplest form
1/(4^13)
This method is used to avoid cumbersome repetition of zeros.
Scientific notation
Is (6^-6)*(6^4)= (3^-6)*(3^12)?
no
(10^68)^13
10^884
((6^-6)*(6^4))/(6^12)
Simply to its simplest form
1/(6^14)
((x^2)/y)^-3
Simply to is simplest form
(y^3)/(x^6)