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Product and Quotient Rule (Exponents)
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Simplify 3^5 / 3^10
3^-5
Simplify 12^3 / 12
12^2
Simplify a^2(a^-4)(b)
a^-2(b)
What is 5^1 equal to?
5
Simplify (d^10)(z^3)
You cant :)
Multplication is repeated addition... Exponents are repeated...
Multiplication!!
What happens when you have a power of 1?
Keep the base, no exponent is the same as exponent of 1.
What happens if you dont have any of the same bases when simplifying?
You cant simplify. Only same bases can be combined.
When dividing with exponents in which order to you subtract?
In order of the equation, dividend by divisor, top minus bottom, numerator minus denominator
Simplify (x^13)(x^19)
x^32
Simplify (2^3x) / (2^2x)
2^x (because 3x - 2x = x) Trickyyy
Simplify (3)(m^11)(n^2) / (3)(m)(n)
m^10(n)
Simplify (c^7)(b^10)(a^2) / (c^2)(b^7)(a^10)
c^5(b^3)(a^-8)
Simplify
14^-2(k^-14)
Simplify
9^-6(m^-2)
Simplify
7^13
Simplify
35^14(y^-11)
Simplify
y^22
Simplify
12^2(y^14)
Simplify
12^8
Simplify
2^-2(m^-7)(y^-2)
Simplify
2^4(x^12)
Simplify
3x^-3
Simplify (n^6)(n^16)
n^22
Simplify (x^10)/(x^12)
x^-2
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
What is 10^5?
100,000
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!
Simplify (2^197)/(2^372)
2^-175
Is 2^0 equal to 1 or 0?
1
Does 10^10 = 100 ?
NO
Does 10^2 = 100 ?
Yes
Simplify (10^2)(10^8)
10^10
Simplify (6^4)(6^9)
6^13
Simplify (5^6)/(5^3)
5^3
Simplify (3^4)/(3^7)
3^-3 or 1/3^3
Simplify (12^12)/(12^12)
12^0 or 1
Simplify (6^0)/(5^3)
1/5^3 or 5^-3
Simplify (4^6)/(4^8)
1/4^2 or 4^-2
How many zeros are in 10^13?
13 zeros (10,000,000,000,000)
How would you read this out loud?
x to the power of y
What is the smaller number called?
The exponent
What is the bigger number called?
The base
Simplify (4^6)(4^8)
4^14
Simplify (6^0)(5^3)
5^3
Simplify (12^12)(12^12)
12^24
Simplify (3^4)(3^7)
3^11
Simplify (5^6)(5^3)
5^9
Evaluate 13^1
13
Evaluate 3000^1
3000
Evaluate 145^0
1
Evaluate 7^0
1
12^4
12x12x12x12
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..
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.
Expand 5^2
5x5
Expand 4^3
4x4x4
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