Product and Quotient Rule (Exponents) | Baamboozle - Baamboozle

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Expand 4^3

4x4x4

What is 10^5?

100,000

Simplify 3^5 / 3^10

3^-5

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

m^10(n)

Simplify (3^4)(3^7)

3^11

Evaluate 3000^1

3000

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

2^-175

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

You cant simplify. Only same bases can be combined.

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

1/5^3 or 5^-3

What happens when you have a power of 1?

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

Simplify (5^6)(5^3)

5^9

Simplify 12^3 / 12

12^2

Evaluate 145^0

1

What is 5^1 equal to?

5

Simplify

9^-6(m^-2)

Simplify

3x^-3

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

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

Simplify

7^13

Does 10^2 = 100 ?

Yes

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

x^-2

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

12^0 or 1

Simplify (d^10)(z^3)

You cant :)

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

a^-2(b)

What is the smaller number called?

The exponent

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

Is 2^0 equal to 1 or 0?

1

Simplify

12^8

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

5^3

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

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

3^-3 or 1/3^3

Simplify

35^14(y^-11)

What is the bigger number called?

The base

Simplify

14^-2(k^-14)

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

Multiplication!!

How would you read this out loud?

x to the power of y

12^4

12x12x12x12

Simplify (n^6)(n^16)

n^22

Simplify

2^4(x^12)

Evaluate 13^1

13

Does 10^10 = 100 ?

NO

Expand 5^2

5x5

How many zeros are in 10^13?

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

Simplify (10^2)(10^8)

10^10

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..

Simplify (x^13)(x^19)

x^32

Simplify

y^22

Simplify (4^6)(4^8)

4^14

Simplify (12^12)(12^12)

12^24

Simplify

12^2(y^14)

Evaluate 7^0

1

Simplify (6^4)(6^9)

6^13

Simplify (6^0)(5^3)

5^3

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

1/4^2 or 4^-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

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

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