Product and Quotient Rule (Exponents) | Baamboozle - Baamboozle

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Does 10^10 = 100 ?

NO

How would you read this out loud?

x to the power of y

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.

Simplify

3x^-3

Expand 4^3

4x4x4

Simplify (5^6)(5^3)

5^9

Simplify (n^6)(n^16)

n^22

Simplify

2^4(x^12)

What is the smaller number called?

The exponent

Simplify

y^22

Simplify

35^14(y^-11)

Simplify

12^2(y^14)

Simplify

14^-2(k^-14)

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

2^-175

Simplify 12^3 / 12

12^2

Simplify

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

Evaluate 3000^1

3000

What is 10^5?

100,000

Simplify (4^6)(4^8)

4^14

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

5^3

Simplify

7^13

Evaluate 145^0

1

12^4

12x12x12x12

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

1/5^3 or 5^-3

Simplify (d^10)(z^3)

You cant :)

Simplify (12^12)(12^12)

12^24

Evaluate 7^0

1

Does 10^2 = 100 ?

Yes

Simplify (6^0)(5^3)

5^3

Simplify

12^8

Simplify (3^4)(3^7)

3^11

Simplify (6^4)(6^9)

6^13

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.

Simplify (4^6)/(4^8)

1/4^2 or 4^-2

Is 2^0 equal to 1 or 0?

1

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

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

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 (x^13)(x^19)

x^32

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 (x^10)/(x^12)

x^-2

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 is the bigger number called?

The base

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

12^0 or 1

What is 5^1 equal to?

5

Simplify (10^2)(10^8)

10^10

Expand 5^2

5x5

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

a^-2(b)

Evaluate 13^1

13

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

3^-3 or 1/3^3

Simplify 3^5 / 3^10

3^-5

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

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

How many zeros are in 10^13?

13 zeros (10,000,000,000,000)

Simplify

9^-6(m^-2)

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

Multiplication!!

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

m^10(n)