Exponents

Rules of exponents

100

How do you multiply exponents with the same base?

What is add the exponents.

200

How do you divide exponents with the same base?

What is subtract the exponents.

300

How do you do a power to a power?

ex: (3x²)³

What is you multiply the exponents.

answer: 3³x⁶ or 27x⁶

400

What is 7⁰?

What is 1.

500

How do you simplify this? 

(3x²) / (9y³)

What is 

(1x²) / (3y³)

Product Rule

100

x² * x³ * x⁶

What is x¹¹

200

2³ x 2⁵

What is 

2⁸

300

(3x²y³)(-4x³y⁴z)

What is 

-12x⁵y⁷z

400

(2x²)^-1(4x^-2y¹)

What is 

2y / x⁴

500

(3x³y²z⁵)²(-2x²y⁴)²

What is 

36x¹⁰y¹²z¹⁰

Quotient Rule

100

3⁵ / 3²

What is 

3³ = 27

200

4³ / 4⁷

What is 

1 / 4⁴

300

(x⁴y⁵z) / (x²y⁸z²)

What is 

x² / y³z

400

(2x²)³ / (2x⁴)²

What is 

2 / x²

500

(-x³y²z³)² / (2x^-2y³z)³

What is 

x¹²z³ / 8y⁵

Negative Exponents

100

2^-2

What is 

1 / 4

200

x^-2y^-3z⁴

What is 

z⁴ / x²y³

300

(2x²y^-3z)^-3

What is 

x⁹ / 8z³

400

(-3x^-1y⁴)^-2 / (2x³y^-2z)^-1

What is 

2x⁵z / 9y¹⁰

500

(-x⁰y^-3z²)⁴ / (2x^-3y²z⁰)^-2

What is 

4z⁸ / x⁶y⁸

power rule

100

(3x)²

3²x²

9x²

200

(7x³)⁴

7⁴ x¹²

2401x¹²

300

(2x²y)³

2³x⁶y³

8x⁶y³

400

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

(9x^4)/(16y^16)

500

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

(4y^2)/(9x^2)

600

((3y^0)/(y^-2))^2

3y^4

Simplify

100

(x^6)/(x^4)

X²

200

(s^6y^2z^3)/(s^8yz^5)

y/(s^2z^2)

300

(z^6t^2q^4)/(q^7t^3)

(z^6t)/(q^3)

400

(y^-8)/(y^2)

1/y^10

500

z^-4/z^-2

1/z^2

600

(8z^6y^3)^2/(y^7z^3)

(8z^9)/y