Product and Quotient Rule (Exponents) | Baamboozle - Baamboozle

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How would you read this out loud?

x to the power of y

Is 2^0 equal to 1 or 0?

1

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

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 (4^6)(4^8)

4^14

Simplify

12^2(y^14)

What is 10^5?

100,000

Evaluate 7^0

1

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.

Evaluate 3000^1

3000

Simplify (d^10)(z^3)

You cant :)

What is the bigger number called?

The base

What is 5^1 equal to?

5

Simplify (n^6)(n^16)

n^22

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

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

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

You cant simplify. Only same bases can be combined.

Evaluate 13^1

13

Simplify

14^-2(k^-14)

Simplify

3x^-3

Simplify

7^13

Expand 4^3

4x4x4

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

12^0 or 1

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

m^10(n)

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

a^-2(b)

Simplify 3^5 / 3^10

3^-5

Simplify

y^22

Simplify

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

What is the smaller number called?

The exponent

Evaluate 145^0

1

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

2^-175

Simplify 12^3 / 12

12^2

How many zeros are in 10^13?

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

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

Multiplication!!

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 (12^12)(12^12)

12^24

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

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

Expand 5^2

5x5

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

1/4^2 or 4^-2

Simplify (10^2)(10^8)

10^10

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

1/5^3 or 5^-3

Simplify (5^6)(5^3)

5^9

Simplify

12^8

12^4

12x12x12x12

Simplify (3^4)(3^7)

3^11

Simplify (x^13)(x^19)

x^32

Simplify (6^0)(5^3)

5^3

Does 10^2 = 100 ?

Yes

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..

What happens when you have a power of 1?

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

Simplify

9^-6(m^-2)

Simplify (6^4)(6^9)

6^13

Simplify

2^4(x^12)

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

x^-2

Does 10^10 = 100 ?

NO

Simplify

35^14(y^-11)

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

3^-3 or 1/3^3