Exponent Rule Review

Product Rule

100

Write the Expression as a single Exponent:

(5²)(5⁷)

What is 5⁹?

200

Write the Expression as a single Exponent:

(m¹¹)(m⁴)

What is m¹⁵

300

Write the expression as a single exponent:

(x²)(x⁹)(x²)

What is x¹³

400

Write the expression as a single exponent:

(v¹)(v¹⁶)(v⁴)(v³)

What is v²⁵

500

What do you do with the exponents for the "product rule"?

What is "ADD the exponents"

Power Rule

100

Write the expression as a single exponent:

(x⁴)²

What is x⁸

200

Write the expression as a single exponent:

(11⁷)³

What is 11²¹

300

Write the expression as a single exponent:

(m¹⁰)¹⁰

What is m¹⁰⁰

400

Write the expression as a single exponent:

(y⁴)⁴

What is y¹⁶

500

What do you do with exponents for the "power rule"?

What is "multiply the exponents"

Quotient Rule

100

Write the expression as a single exponent:

2⁴ / 2²

What is 2²

200

Write the expression as a single exponent:

x¹² / x⁷

What is x⁵

300

Write the expression as a single exponent:

c²¹ / c³

What is c¹⁸

400

Write the expression as a single exponent:

5⁴ / 5

What is 5³

500

What do you do with exponents for the "Quotient Rule"?

What is "subtract the exponents"

Negative Exponent

100

Write the expression as a POSITIVE exponent:

2^-4

What is 1/2⁴

200

Write the expression as a POSITIVE exponent:

m^-5

What is 1/m⁵

300

Write the expression as a POSITIVE exponent:

8^-66

What is 1/8⁶⁶

400

Write the expression as a NEGATIVE exponent:

1/v¹²

What is v^-12

500

Write the expression as a POSITIVE exponent:

x^-m

What is 1/x^m

Zero Rule

100

Simplify:

6⁰

6^{0 =} 1

200

Simplify:

9⁰

9⁰⁼¹

300

Simplify:

v⁰

v⁰=1

400

Simplify:

788⁰

788⁰ =1

500

What is the "zero rule"? 

Any number to the power of zero equals 1.

x⁰= 1