Exponent Laws

Multiplying Powers

100

(x⁵)(x¹⁰)

What is x¹⁵

200

(x¹²)(x)

x¹³

300

(-x¹²)(x^-2)

What is -x¹⁰

400

(-x⁷)(-x^-4)

What is x³

500

(8x^-4)(5x¹⁰)

What is 40x⁶

Dividing Powers

100

x^12/x^7

What is x⁵

200

x^33/x

What is x³²

300

x^2/x^5

x^-3

^or 

400

14x¹² / 2x⁷

What is 2x⁵ 

500

x^-8/x^3

answer without a negative exponent

What is 

1/x^11

Power to a Power

100

(x⁶)³

What is x¹⁸

200

(x⁸)⁵

What is x⁴⁰

300

(2x⁴)³

What is 8x¹²

400

(y²x³)³

What is y⁶x⁹

500

(-3x^-2)³

^{Answer without negative exponents}

What is -27/x⁶

Negative Exponents

100

x^-7

What is 1/x⁷

200

x^-3

What is 1/x³

300

(5x^-2)

What is 

400

(x³)^-2

What is 1/ (x⁶)

500

(2x⁶)^-2

What is 

Mixed Goodies

100

2*2*2*2*2*2

What is 2⁶

200

4⁵ in expanded form

What is 4*4*4*4*4

300

((-4)³)² as a simplified power

What is (-4)⁶

400

2(-3)² + (3-5)³

What is 10

500

(10¹⁰ x 10² x 10) / (10⁷ x 10⁶) as a power

What is 10⁰