Exponents Review

Zero & Negative Power Rule

100

Any thing raised to a zero power is equal to_____.

What is one ? 

200

If a negative exponent is in the denominator it gets moved to the______________

What is the numerator?

300

2/ a^-13

What is 2a¹³ ?

400

Solve the following exponent: 

(14⁰5^-3)

What is 1/125? 

500

SOLVE the following exponent:

(6^-1) / (11^-2 414⁰)

What is 121/6 ? 

Product & Quotient Rule

100

If I am multiplying numbers with the same base I should _____ the exponents.

What is add? 

200

If I am dividing numbers with the same base I Should _____ the exponents.

What is subtract? 

300

Simplify the following expression

(10x¹¹)(9x¹²)=

What is 90x²³?

400

(15x²y⁵z⁶)(x¹¹y⁹z³)

What is (15x¹³y¹⁴z⁹)?

500

(6a¹⁰b²³c⁹)/(2a⁷b¹²c⁵)

What is 3a³b¹¹c⁴?

Power Rule

100

Using this rule means you __________the exponents

What is multiply? 

200

In the following problem, how would the exponent be distributed? 

(4xy)³

What is 4²x³y³

300

Simplify the following:

(3x²y³)³

What is 27x⁶y⁹? 

400

Simplify the following:

(2xyz)^-2

What is 1/4x²y²z² ? 

500

Simplify the following:

(x⁴y³)³(x²y)^-4

What is  x⁴y⁵

Name that Rule

100

Name all of the rules needed to simplify this exponent. 

(67⁵)⁸

What is Power Rule? 

200

Name ALL of the rules needed to simplify this exponent. 

(115⁰z³)(z⁴)

What is ZERO & PRODUCT RULE? 

300

Name ALL of the rules needed to simplify this exponent. 

(120x⁵y^-6z⁹d⁰)⁵

What is POWER, NEGATIVE, & ZERO RULE? 

400

Name all of the rules needed to simplify this exponent.  

((k¹⁰a⁷m²¹)/(10a⁷))³

What is QUOTIENT & POWER RULE ? 

500

Name ONE of the rules needed to simplify this exponent. 

( 12d²q³r⁰/24d⁶q⁴r⁶)^-5

What is NEGATIVE, ZERO, & QUOTIENT RULE? 

Rules

100

What do you do with the exponents when applying the Product Rule?

When the bases are the same, add the exponents. Multiply coefficients.

200

What happens when you have 0 as the exponent.

The base becomes 1.

300

What do you do with the exponents when applying the Power Rule?

Multiply the exponents on the inside of the parentheses by the exponent on the outside.

400

What do you do with the exponents when applying the quotient rule?

When the bases are the same, subtract the exponent of the denominator from the exponent of the numerator. The answer will always be part of the numerator!

500

What do you do with the exponents when applying the negative rule?

The base and the exponent get flipped to the denominator or the numerator to become positive.