Properties
When multiplying with the same base,
you __________ the exponents
Example
65x69 =
Add the exponents
= 615
64 x 54
304
y5 x y10
y15
20^5/20^5
1
What is the end of everything?
the letter g
When dividing exponents with the same base, ________ the exponents
Example:
9^10/9^7
Subtract the exponents
= 93
8^9/8^2
87
Write using positive exponents
5/5^3
1/5^2
x*x^4*x^5
x10
Using a map???, can you find the middle of america?
No map needed
the letter r is in the middle of the word america
When you raise a power to a higher power,
you _________ the exponents
Example
(6^5)^4=
Multiply the exponents
= 620
(-50)0 =
1
Simplfy
z^9/z^3
z6
77 x 57 =
357
How many of each animal did Moses put on the arc?
0
Noah did the arc
When you multiplying two different bases with the same exponents,
you _________ the bases and ______ the exponent
Example:
8^7x4^7
you multiply the bases and keep the exponent
= 327
128 x 127 =
1215
253 x 43 =
1003
z^18/z
z17
What car is spelled the same backwards?
racecar
When you have a negative exponent,
to make it positive, move it to the _____________ side of the fraction bar
Example:
x^-3
1/x^-4
Move it to the opposite side of the fraction bar
1/x^3
x^4
Write as a positive exponent
5^-9
1/5^9
Be careful
Simplify -90 =
-1
(10y^8)/(2y^5)
5y3
What five-letter word gets shorter when you add two letters to it?
Short
When you raise anything to the zero power, it equals _______.
Example
8^0, (-7)^0
One
Be careful!!!
Write as a positive exponent
1/4^-3
43
Simplify
4^-3/4^-4
4
Write using positive exponents
x^5/x^-3
x8
How many letters are there in the English alphabet?
18 ... 3 in "the," 7 in "English," and 8 in "alphabet"