Product and Quotient Rule (Exponents) | Baamboozle - Baamboozle

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Simplify (10^2)(10^8)

10^10

Simplify 3^5 / 3^10

3^-5

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!

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

Simplify (4^6)(4^8)

4^14

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

1/5^3 or 5^-3

How many zeros are in 10^13?

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

Simplify (5^6)(5^3)

5^9

Evaluate 7^0

1

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

5^3

What is 10^5?

100,000

Simplify 12^3 / 12

12^2

Simplify (n^6)(n^16)

n^22

Simplify (6^0)(5^3)

5^3

Simplify

2^4(x^12)

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.

What is 5^1 equal to?

5

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 (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

12^8

Expand 5^2

5x5

Simplify (d^10)(z^3)

You cant :)

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

a^-2(b)

Evaluate 145^0

1

What happens when you have a power of 1?

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

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..

Does 10^10 = 100 ?

NO

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

3^-3 or 1/3^3

Simplify

35^14(y^-11)

12^4

12x12x12x12

Expand 4^3

4x4x4

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

m^10(n)

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

Multiplication!!

Simplify

14^-2(k^-14)

Simplify

3x^-3

Simplify

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

Simplify

7^13

Simplify

y^22

Simplify

9^-6(m^-2)

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

2^-175

Evaluate 13^1

13

Simplify (6^4)(6^9)

6^13

Simplify (12^12)(12^12)

12^24

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

12^0 or 1

Evaluate 3000^1

3000

Is 2^0 equal to 1 or 0?

1

Simplify (x^13)(x^19)

x^32

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

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

Simplify (3^4)(3^7)

3^11

What is the bigger number called?

The base

How would you read this out loud?

x to the power of y

Does 10^2 = 100 ?

Yes

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

x^-2

Simplify

12^2(y^14)