Math of Exponent

Law of Exponents

100

1

(3x^4y^3)^0

200

What is Common base, keep the base and add the exponents

Product Rule

300

Common base, subtract exponents. *Put the answer in the numerator or denominator depending on where the higher power is located.

Quotient Rule

400

(2x^4y^2)^3

8x^12y^6

500

2x^3/6x^2 *Remember Reduce.

1x/3

Exponential Equation 1

100

What is: 4^2x+3 = 4^-9

x=-6

200

What is: 11^4x-9 = 11^-2x+4

_ x=2.16

300

What is: 2^6x-5 = 2^3

_ x=1.3

400

What is: 3^-2x+3 = 3^5

x=-1

500

What is: 7^x-8 = 7^x-9

No Solution

Exponential Equation 2

100

What is: 3^7x-3 = 9^2x

x=1

200

8^-3x+5 = 32^-5x-7

x=-3.125

300

3^x+7 = 1

x=-7

400

16^x = 64^x+1

x=-3

500

7^2x+3 = 49^x-1

No Solution

Other

100

5^-3r = 5^-2r-3

r=3

200

(4xy)^-2

1/16x^2y^2

300

Do you do with a negative exponent? 

Flip it 

400

The dino name is

Edward

500

8m^-4

8/m^4