Exponents

Product Power

100

State an expression that is equivalent to 3⁷ * 3⁴

3⁷⁺⁴ = 3¹¹

200

Simplify (j⁸)*(j^-8)

j^8+(-8) = j⁰ = 1

300

Which expression represents the product of (3x²y⁴) and (4xy²) in the simplest form?

3*4 =12

x²⁺¹ = x³

y⁴⁺² = y⁶

12x³y⁶

400

What is an expression and the value equivalent 2³ * 4⁴

4⁴ = 2²⁺⁴ = 2⁶

2³ * 2⁶ = 2³⁺⁶ = 2⁹

2⁹ = 512

500

What is an equivalent expression to (-2a²b³)(4ab⁷)(6a³b⁴)?

-2*4*6 = -48

a²⁺¹⁺³ = a⁶

b³⁺⁷⁺⁴ = b¹⁴

Quotient Rule

100

Simplify 3⁸ divided by 3⁵

3^8-5 = 3³

200

What is d⁸ ivided by d³ equivalent to?

d^8-3 = d⁵

300

State the quotient of -27a⁸b¹² and 3a²b⁷

-27/3 = -9

a^8-2 = a⁶

b^12-7 = b⁵

-9a⁶b⁵

400

Find the quotient of (x¹²/x⁵) and (x¹⁸/x¹²)

(x¹²/x⁵) = x⁷

(x¹⁸/x¹²) = x⁶

x⁷/x⁶ = x¹

500

What is the product of the two expressions below:

1. (63x⁶)/(7x²)

2.(42x⁷)/(9x²)

(63x⁶)/(7x²) = 9x⁴

(42x⁷)/(9x²) = 8x⁵

9x⁴ * 8x⁵ = 72x⁹

Power Rule

100

State what (2³)³ is equivalent to 

2^3*3 = 2⁹

200

What expression is equivalent to (5x³)⁴ to?

(5x³)⁴ = 625x¹²

300

State the expression (6x³y⁶)² is equivalent to

(6x³y⁶)² = 36x⁶y¹²

400

State the product of (5a²b³) and (-2a²b⁴)³

(-2a²b⁴)³ = -8a⁶b¹²

(-8a⁶b¹²)(5a²b³) = -40a¹²b³⁶

500

If the expression (2y^a)⁴ is equivalent to 16y²⁶ , what is the value of a?

(2y^a)⁴ = 16y²⁶

2*4=16

a*4 =26

a = 6

Negatives

100

Simplify y^-7

 y^-7 = 1/y⁷

200

Simplify 3³⋅ 3^-2

3^-2 = 1/9

3³ = 27

27/9 = 3

300

Simplify 5⁴ * 5^-4 * 5³

5⁴ * 5^-4 * 5³ = 5³ 

400

Simplify 7¹² divided by 7¹⁴

7^12-14 = 7^-2 = 1/49

500

Find the product of (1/x^-4) and x²

(1/x^-4)(x²) = x⁴⁺² = x⁶

RaNdOM

100

Simplify 3 * (4³)

3 * (4³)

(4³) = 64

64*3 = 192

200

Simplify (6a⁵b⁸)²

(6a⁵b⁸)² = 36a¹⁰b¹⁶

300

State the quotient of (2x⁵y⁶)³ and 4x⁷y⁹

(2x⁵y⁶)³ = 8x¹⁵y¹⁸

(8x¹⁵y¹⁸)/(4x⁷y⁹) = 2x⁸y⁹

400

Simplify -(9x)⁰

-(9x)⁰ = -1

500

Simplify 7⁴⁸ divided by 7⁵²

7^48-52 = 7^-4 = 1/(7^-4) = 1/2401