Chapter 6 lesson 4

Multiplying Powers

100

Simplify using Laws of Exponents: 

2^12 * 2^8

2²⁰

200

Simplify using Laws of Exponents: d²² · d¹²

d³⁴

300

Simplify using Laws of Exponents: 

a^-30*a^20

1/a^10

400

Simplify using Laws of Exponents:

3^2 * 3^5

3⁷

Powers of a Power

100

Simplify using Laws of Exponents: (3²)⁵

3¹⁰

200

Simplify using Laws of Exponents: (6⁸)^-4

1/ 6³²

300

Simplify using Laws of Exponents: (p^-5)^-10

p⁵⁰

400

What operation do you use to simplify this expression?: (5³)⁵ 

^{Bonus point for having the answer too!}

Multiplication, 5¹⁵

Dividing Powers

100

Simplify using Laws of Exponents: 

(b^12)/(b^2)^3

b⁶

200

Simplify using Laws of Exponents: 

(r^10*r^-2)/ (r^10)

1/r²

300

Simplify using Laws of Exponents: 

x^-2/x^-2

1

400

What operation do you use to solve using laws of exponents? 

x^3 / x^2

Subtraction

Negative Rule

100

Simplify: 

4^-3

1/4^3 = 1/64

200

Simplify: 

1/a^-4

a⁴

300

Simplify: 

c^-2/c^5

1/c^7

400

Simplify using the negative exponent rule: 

2^-1

1/2^1 = 1/2

Mixed Properties

100

Simplify using Laws of Exponents: 

(d^3*d^3)/d^2

d⁴

200

Simplify using the laws of exponents: 

(x^4)^3 * x^4

x^16

300

Simplify using Laws of Exponents: 

((x^3)^4*x^4)/x^3

x^13

400

Simplify:

(c^6*c^4)/c^2

c⁸