Chapter 8 Test Review

Power Rule

100

When applying the product rule, the base remains the same and we ____ the exponents

What is add

200

Simplify 

(3⁴)⁶

What is 3²⁴

300

Simplify

(7⁹6⁵)³

What is 7²⁷6¹⁵

400

Simplify

(4^-85²6³)⁴

What is 4^-325⁸6¹²

500

Simplify

(5x⁵y⁷9¹²z³)³

What is 5³x¹⁵y²¹9³⁶z⁹

Product Rule

100

When applying the product rule, the base remains the same and we _____ the exponents

What is multiply

200

Simplify

6⁴ * 6³

What is 6⁷

300

Simplify

5³ * 5⁴ * 5⁵

What is 5¹²

400

Simplify

9³ * x⁴ * 6² * x³ * 9²¹

What is 9²⁴ * x⁷ * 6²

500

Simplify

z⁸ * 5⁴ * x⁶ * 5² * y³ * 4³ * z⁴⁵ * 4⁶ * y⁹ * 5⁹⁰ * 2⁸

What is z⁵³ * 5⁹⁶ * x⁶ * y¹² * 4⁹ * 2⁸

Quotient Rule

100

When applying the quotient rule, the base remains the same and we _____ the exponents

What is subtract

200

Simplify 

5^7/5^3

What is 5⁴

300

Simplify

6^5/6^9

What is 

1/6^4

400

Simplify

(5^3*9^8*7^4)/(5^8*9^7*7^2)

What is 

(7^2*9)/(5^5)

500

Simplify

(x^4*y^7*8^9*3^6*z^8)/(x^6*y^3*8^3*7^3*4^78*3^7)

What is 

(x^2*y^4*8^6*z^8)/(7^3*4^78*3)

Scientific Notation

100

The number being multiplied by a base of 10 raised to an exponent is always in between what two numbers

What is 1 and 10

200

Convert the following into scientific notation

456.79 * 10⁴

What is 4.5679 * 10⁶

300

Convert the following into scientific notation

0.00000349 * 10⁶¹

What is 3.49 * 10⁵⁶

400

Convert the following into standard form

6783.45 * 10^-3

What is 6.78345

500

Convert into standard notation

0.0000000000103 * 10⁷

What is 0.000103

Xtra Practice

100

Convert the following into scientific notation

0.00875 * 10⁷⁸

What is 8.75 * 10⁷⁵

200

Simplify

(7⁸y⁴x⁹)⁶

What is 7⁴⁸y²⁴x⁵⁴

300

Expand the following

(6⁴9z²)²

What is (6*6*6*6*9*z*z)(6*6*6*6*9*z*z)

400

Convert to standard form

5.49 * 10⁷

What is 54900000

500

Simplify

((8^3*6^9*x^7*6^3)/(8^8*6^4*x^2*6^7))^3

What is 

(6^3*x^15)/(8^15)