Math 1 Unit 1 Simplifying Exponential Expressions

Multiplication

100

4x³ * 2x³

8x⁶

200

x⁵ * x^-1

x⁴

300

(j^-10)(j⁴)(j⁶)

1

400

(-3x²y⁵)(x⁰)(7x⁶y)

-21x⁸y⁶

500

8(2ab)²(a³b⁵)

32a⁵b⁷

Division

100

6⁵ / 6³

36

200

x⁴ / x⁷

1/x³

300

6x⁷ / 2x⁴

3x³

400

x^-1 / x^-8

x⁷

500

2x⁴y^-4 /8x⁷y³

1/4x³y⁷

Power to a Power

100

6(y⁴)³

6y¹²

200

(x²y)⁴

x⁸y⁴

300

(3x⁷y⁰)⁴

81x²⁸

400

(x^-4y^-3)^-2

x⁸y⁶

500

(2fg⁴)⁴(fg)⁶

16f¹⁰g²²

Negative Exponents

100

y^-7

1/y⁷

200

7^-2

1/49

300

1/x^-5

x⁵

400

7x^-3

7/x³

500

x/2^-4

16x

The Tricky Stuff

100

(5x³y/20xy⁵)⁴

x⁸/256y¹⁶

200

5x²y(2x⁴y^-3)

10x⁶/y²

300

(4x⁴y^-4)³

64x¹²/y¹²

400

(3x²y/6x³y³)^-2

4x²y⁴

500

(-2a³b²c⁰/3a²b³c⁷)^-2

9b²c¹⁴/4a²