Multiplying
64 X 63
67
10^5 / 10^2
10^3
(9^3)^2
9^6
200^0
1
Rule 1:
When MULTIPLYING bases, we ______ the exponents
add
What is the base of the following expression:
89^7 /89^3
89
2 X 210
211
6^3/6
6^2
(4^2)^6
4^12
7^-2
1/7^2
Rule 2:
When DIVIDING bases, we _____ the exponents
subtract
What rule is this?
an x am = an+m
Product rule
OR
Multiplying rule
OR
Adding exponents rule
190 X 19
191
OR
Just 19
3^6/3^0
3^6
(15^4)^5
15^20
a0
1
When multiplying and dividing bases with exponents, the bases MUST be ________
the same
What rule is this?
an / am = an-m
Quotient rule
OR
Dividing rule
OR
Subtracting exponents rule
0.6100 X 0.645
0.6145
0.9^3/0.9^2
0.9 or 0.9^1
(y^5)^3
(y)^15
(-3/4)^0
1
Rule 3:
When an exponent is raised to another exponent (Power to a Power), we have to ______________ the exponents
multiply
What is this rule?
(an)m = an X m
Power rule
OR
Multiplying exponents rule
(1/2)^5 X (1/2)^3
(1/2)^8
y^9 /y^4
y^5
(9^-3)^2
9^-6 or 1/9^6
1/18^-2
18^2
Rule 4:
When a base has a ZERO exponent, the answer is always ________
ONE
What is this rule?
a0 = 1
Zero rule
a3 X a7
a10
5^7/2^4
We can't divide with different bases, so the answer remains the same:
5^7/2^4
(0.3)^2
0.3^2
5/3^-4
3^4/5
When a base has a NEGATIVE exponent, we have to ___________________________ and ___________________________
Flip the fraction and change the sign of the exponent
What is this rule?
a^-n = 1/a^n
Negative rule
152 X 133
We can't multiply with different bases, so the answer remains the same:
152 * 133
9^16 /9^20
9^-4 or 1/9^4
(3^6)^0
3^0 or 1
5^-2 /5^0
1/5^2
Simplify this expression:
5^2/5^3
5^-1 OR 1/5^1 OR 1/5
What is the value of
3^4 /3^6
1/9 or 0.111111111