Exponent Rules

Product Property of Exponents

100

Write the expression as a single exponent expression.

(4⁶)(4⁸)

What is:

4¹⁴

200

Write the expression as a single exponent expression.

6⁵ x 6¹²

What is:

6¹⁷

300

Write the expression as a single exponent expression.

(336²)(336²⁸)

What is:

336³⁰

400

Write the expression as a single exponent expression.

25¹⁷ x 25³⁶

What is:

25⁵³

500

Write the expression as a single exponent expression.

(9⁴)(9¹⁶)

What is:

9²⁰

Power of a Power Property of Exponents

100

Write the expression as a single exponent expression.

(2⁴)³

What is:

2¹²

200

Write the expression as a single exponent expression.

(6⁵)⁴

What is:

6²⁰

300

Write the expression as a single exponent expression.

(18⁶)⁷

What is:

18⁴²

400

Write the expression as a single exponent expression.

(270³)¹²

What is:

270³⁶

500

Write the expression as a single exponent expression.

(49²⁷)²

What is:

49⁵⁴

Quotient Property of Exponents

100

Write the expression as a single exponent expression.

4⁶/4⁵

What is:

4¹ or 4

200

Write the expression as a single exponent expression.

7⁹ divided by 7⁷

What is:

7²

300

Write the expression as a single exponent expression.

16¹⁸/16⁵

What is:

16¹³

400

Write the expression as a single exponent expression.

56⁴ divided by 56

What is:

56³

500

Write the expression as a single exponent expression.

12⁵/12³

What is:

12²

Power of a Product Property of Exponents

100

Write the expression as a single exponent expression.

(4³)(7³)

What is: 

28³

200

Write the expression as a single exponent expression.

6⁵ x 9⁵

What is: 

54⁵

300

Write the expression as a single exponent expression.

(12⁹)(10⁹)

What is:

120⁹

400

Write the expression as a single exponent expression.

3⁴ x 20⁴

What is:

60⁴

500

Write the expression as a single exponent expression.

(3²)(5²)

What is:

15²

Power of a Quotient Property of Exponents

100

Write the expression as a single exponent expression.

6⁸ divided by 3⁸

What is:

2⁸

200

Write the expression as a single exponent expression.

18⁷/3⁷

What is:

6⁷

300

Write the expression as a single exponent expression.

(12/3)⁵

What is:

4⁵

400

Write the expression as a single exponent expression.

27⁸² divided by 3⁸²

What is:

9⁸²

500

Write the expression as a single exponent expression.

(120/5)¹⁸

What is:

24¹⁸

Multi-Step Problems

100

(6^5*6^2)/6^4

6³

200

(3^3)^2/3^4

3²

300

y^2*z^3*3*y^4*2

6y⁶z³

400

Simplify:

(12x^5y^4z^3)/(3x^2y^2z)

4x³y²z²

500

Write your answer with a base of 3 and one exponent.

(9^2*3^5)/3^3

3⁶