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Product and Quotient Rule (Exponents)
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Expand 4^3
4x4x4
Expand 5^2
5x5
Explain the product rule (Multiplication)
The rule is used then multiplying two terms with the same base. Basically keep the base and add the exponents together.
Explain the quotient rule (Division)
The rule is used then dividing two terms with the same base. Basically keep the base and subtract the exponents from one another..
12^4
12x12x12x12
Evaluate 7^0
1
Evaluate 145^0
1
Evaluate 3000^1
3000
Evaluate 13^1
13
Simplify (5^6)(5^3)
5^9
Simplify (3^4)(3^7)
3^11
Simplify (12^12)(12^12)
12^24
Simplify (6^0)(5^3)
5^3
Simplify (4^6)(4^8)
4^14
What is the bigger number called?
The base
What is the smaller number called?
The exponent
How would you read this out loud?
x to the power of y
How many zeros are in 10^13?
13 zeros (10,000,000,000,000)
Simplify (4^6)/(4^8)
1/4^2 or 4^-2
Simplify (6^0)/(5^3)
1/5^3 or 5^-3
Simplify (12^12)/(12^12)
12^0 or 1
Simplify (3^4)/(3^7)
3^-3 or 1/3^3
Simplify (5^6)/(5^3)
5^3
Simplify (6^4)(6^9)
6^13
Simplify (10^2)(10^8)
10^10
Does 10^2 = 100 ?
Yes
Does 10^10 = 100 ?
NO
Is 2^0 equal to 1 or 0?
1
Simplify (2^197)/(2^372)
2^-175
If we have 10^x, is it true the answer will only have 1's and 0's for all x values?
Yes it is true!
What is 10^5?
100,000
What is the trick for powers of 10? How many zeros do I put?
You will have a 1 with as many zeros as the exponent says. Ex 10^6 = 1,000,000
Simplify (x^10)/(x^12)
x^-2
Simplify (n^6)(n^16)
n^22
Simplify
3x^-3
Simplify
2^4(x^12)
Simplify
2^-2(m^-7)(y^-2)
Simplify
12^8
Simplify
12^2(y^14)
Simplify
y^22
Simplify
35^14(y^-11)
Simplify
7^13
Simplify
9^-6(m^-2)
Simplify
14^-2(k^-14)
Simplify (c^7)(b^10)(a^2) / (c^2)(b^7)(a^10)
c^5(b^3)(a^-8)
Simplify (3)(m^11)(n^2) / (3)(m)(n)
m^10(n)
Simplify (2^3x) / (2^2x)
2^x (because 3x - 2x = x) Trickyyy
Simplify (x^13)(x^19)
x^32
When dividing with exponents in which order to you subtract?
In order of the equation, dividend by divisor, top minus bottom, numerator minus denominator
What happens if you dont have any of the same bases when simplifying?
You cant simplify. Only same bases can be combined.
What happens when you have a power of 1?
Keep the base, no exponent is the same as exponent of 1.
Multplication is repeated addition... Exponents are repeated...
Multiplication!!
Simplify (d^10)(z^3)
You cant :)
What is 5^1 equal to?
5
Simplify a^2(a^-4)(b)
a^-2(b)
Simplify 12^3 / 12
12^2
Simplify 3^5 / 3^10
3^-5