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

6^5/6^3

36

200

x^4/x^7

1/x^3

300

(6x^7)/(2x^4)

3x³

400

x^-1/x^-8

x⁷

500

(2x^4y^-4)/(8x^7y^3)

1/(4x^3y^7

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/y^7

200

7^-2

1/49

300

1/x^-5

x⁵

400

7x^-3

7/x^3

500

x/(2^-4)

16x

The Tricky Stuff

100

((5x^3y)/(20xy^5))^4

x^8/(256y^16)

200

5x²y(2x⁴y^-3)

(10x^6)/y^2

300

(4x⁴y^-4)³

64x¹²/y¹²

400

((3x^2y)/(6x^3y^3))^-2

2xy²

500

((-2a^3b^2c^0)/(3a^2b^3c^7))^-2

(9b^2c^14)/(4a^2)