Product and Quotient Rule (Exponents) | Baamboozle - Baamboozle

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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..

Simplify (4^6)(4^8)

4^14

Simplify

2^4(x^12)

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 (3)(m^11)(n^2) / (3)(m)(n)

m^10(n)

Simplify (10^2)(10^8)

10^10

What happens if you dont have any of the same bases when simplifying?

You cant simplify. Only same bases can be combined.

Simplify

y^22

Simplify (2^3x) / (2^2x)

2^x (because 3x - 2x = x) Trickyyy

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 4^3

4x4x4

Does 10^2 = 100 ?

Yes

Simplify

3x^-3

Simplify (3^4)/(3^7)

3^-3 or 1/3^3

Simplify

9^-6(m^-2)

What is the bigger number called?

The base

Simplify 3^5 / 3^10

3^-5

Simplify (5^6)/(5^3)

5^3

Simplify

14^-2(k^-14)

Simplify (12^12)/(12^12)

12^0 or 1

Simplify

12^2(y^14)

Evaluate 7^0

1

Simplify

7^13

Simplify (x^13)(x^19)

x^32

12^4

12x12x12x12

What is the smaller number called?

The exponent

Simplify (6^0)/(5^3)

1/5^3 or 5^-3

Evaluate 13^1

13

Simplify (12^12)(12^12)

12^24

What is 5^1 equal to?

5

Simplify

2^-2(m^-7)(y^-2)

What is 10^5?

100,000

Evaluate 145^0

1

Simplify

35^14(y^-11)

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

12^8

Evaluate 3000^1

3000

How would you read this out loud?

x to the power of y

Simplify (d^10)(z^3)

You cant :)

What happens when you have a power of 1?

Keep the base, no exponent is the same as exponent of 1.

Does 10^10 = 100 ?

NO

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 (5^6)(5^3)

5^9

Simplify a^2(a^-4)(b)

a^-2(b)

Simplify (n^6)(n^16)

n^22

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

Is 2^0 equal to 1 or 0?

1

Simplify (2^197)/(2^372)

2^-175

Simplify (x^10)/(x^12)

x^-2

Simplify (6^4)(6^9)

6^13

Simplify (c^7)(b^10)(a^2) / (c^2)(b^7)(a^10)

c^5(b^3)(a^-8)

Simplify 12^3 / 12

12^2

Simplify (6^0)(5^3)

5^3

Simplify (3^4)(3^7)

3^11

Multplication is repeated addition... Exponents are repeated...

Multiplication!!

Expand 5^2

5x5