Product and Quotient Rule (Exponents) | Baamboozle - Baamboozle

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Simplify

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

Simplify 12^3 / 12

12^2

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

a^-2(b)

Simplify

14^-2(k^-14)

Simplify (4^6)(4^8)

4^14

What is 5^1 equal to?

5

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

x^-2

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!

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

2^4(x^12)

Evaluate 145^0

1

Simplify

12^2(y^14)

Expand 4^3

4x4x4

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 is the bigger number called?

The base

Does 10^10 = 100 ?

NO

Simplify (12^12)(12^12)

12^24

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

12^0 or 1

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

2^-175

Simplify (3^4)(3^7)

3^11

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

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

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

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

You cant simplify. Only same bases can be combined.

What happens when you have a power of 1?

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

Simplify (6^0)(5^3)

5^3

Evaluate 7^0

1

How would you read this out loud?

x to the power of y

Simplify (x^13)(x^19)

x^32

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 (n^6)(n^16)

n^22

Simplify (d^10)(z^3)

You cant :)

Evaluate 13^1

13

What is 10^5?

100,000

12^4

12x12x12x12

Evaluate 3000^1

3000

Simplify (10^2)(10^8)

10^10

How many zeros are in 10^13?

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

Simplify

12^8

Simplify

7^13

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

5^3

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

Multiplication!!

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

m^10(n)

Simplify (6^4)(6^9)

6^13

Simplify (5^6)(5^3)

5^9

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

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

What is the smaller number called?

The exponent

Is 2^0 equal to 1 or 0?

1

Does 10^2 = 100 ?

Yes

Simplify

9^-6(m^-2)

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

1/5^3 or 5^-3

Simplify

35^14(y^-11)

Simplify

y^22

Simplify

3x^-3

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

3^-3 or 1/3^3

Simplify 3^5 / 3^10

3^-5

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

1/4^2 or 4^-2

Expand 5^2

5x5