Exponent review

Product Rule

100

true or false: In order to multiply powers with the same base, we add their exponents. 

true

200

*Simplify the following:

2^-3 ⋅ 2^-4 

1/ 128

300

Simplify the following:

-n^-3 * -4n^-4

4/ n⁷

400

Simplify the following:

-3n^-2 * -5n² *6n⁴

90n⁴

500

Simplify the following:

3x⁴y^{4 *} 3y³

9x⁴y⁷

Power Rule

100

According to exponent rules, when we raise a power to another exponent we _______ the exponents.

multiply

200

Simplify the following:

(4a²)²

16a⁴

300

*Simplify the following:

(5ab²)²

25a²b⁴

400

*Simplify the following:

(-3x⁴y⁵)²

9x⁸y¹⁰

500

Simplify the following:

(4x³y⁴ * 2xy³)²

64x⁸y¹⁴

Quotient Rule

100

The Quotient rule says we must ____ the exponents 

subtract 

200

Simplify the following:

7p⁴/ p⁴

7

300

Simplify the following:

2x^{-1 /} 7x⁴

2/ 7x⁵

400

Simplify the following:

8x²y^{4 /}3xy

8xy³ /3

500

*Simplify the following:

12a²b⁸ / 24a⁴b²

b⁶/ 2a²

Negative/ zero rule

100

Simplify the following:

-7b^{0 *} 8b^-4

-56/ b⁴

200

Simplify the following:

4uv^-3 /(-uv³)^-3

-4u⁴v⁶

300

Simplify the following:

(2m³n^{4 *} 3m⁰n³)⁰

1

400

Simplify the following:

2xy³ / 4x^-3y³

x⁴/ 2

500

Simplify the following:

15x³y^-2x⁴ / 30x^-4y^-6y⁰

x¹¹y⁴/ 2

challenge

100

Simplify the following:

20x¹⁰y^-7/ 23x⁵

20x⁵/23y⁷

200

Simplify the following:

15u⁸v^-11 /2u⁰v^-13

15u⁸v²/ 2

300

Simplify the following:

37n^-19m⁷/ 43n^-24m^-14

37m²¹n⁵/ 43

400

Simplify the following:

(8u¹⁰v⁴)²/ 18u⁰v^-6

32u²⁰v¹⁴/ 9

500

Simplify the following:

(-y⁰)³ / -x^-2y³ * 2yx⁰

x² /2y⁴