Exponents 7th

Solve

100

3²

9

200

2² x 2²

16

300

(2²)³

64

400

(3²)²

81

500

(2²)(3²)²

324

Simplify

100

x²(x³)

x⁵

200

2x⁴(x³)

2x⁷

300

3x⁷(2x⁶)

6x¹³

400

3²x²(4x⁵)

36x⁷

500

2(x²)³(2x)

4x⁷

Quotient I

100

3⁴/3²

3² or 9

200

2n²/n

2n

300

2x³/x⁵

2/x²

400

x²y³/xy¹⁰

x/y⁷

500

8x³/10x⁵

4/5x²

What's the Rule?

100

4² x 4⁷ = 4⁹

Multiplication of Exponents (add)

200

2(x⁵)² = 2x¹⁰

Power to Power (Multiply)

300

x⁵/x² = x³

Quotient (Subtract)

400

Use Power to Power Rule  2(p⁴)⁴

2p¹⁶

500

Use the Quotient Rule  2x³y⁴/4x⁶y⁸

1/2x³y⁴

Quotient II

100

n⁶/n⁴

n²

200

x³/x³

1

300

12x⁶y⁵/3xy³

4x⁵y²

400

4(y²)²/4y³

y

500

x³(x²)²/x⁸

1/x