Mid-Ch 4 Review - Compacted

Powers & Exponents

100

Write with exponents

-7·-7·-7·-7

(-7)⁴

200

Write using exponents. 

(5x+1)(5x+1)

(5x+1)²

300

Write using exponents.

-x·-x·-x·-x·y

(-x)⁴y

400

Write using exponents

9·f·f·f·2·g·g

18f³g²

500

Write using exponents.

(c-d)(c-d)

(c-d)²

Evaluating Exponents

100

Evaluate the expression. 

4⁰ · 5

5

200

Evaluate the expression

(-4)³

-64

300

Evaluate if z=-5

z² - 6

19

400

Evaluate the expressions if x=-5 and y=-2

x² - y³

33

500

Evaluate if w=-3/4. and y=1

w³y²

-27/64

Negative Exponents

100

Write with a positive exponent

9^-4

1/9⁴

200

Write with a positive exponent

(-10)^-2

1/(-10)²

300

Write the expression with positive exponents

5x^-3

5/x³

400

Write with a negative exponent other than -1

1/64

4^-3, or 8^-2

500

Write the following decimal as a power of 10, using a negative exponent

0.0001

10^-4

Multiply & Divide Monomials

100

Find each product or quotient. Express with positive exponents.

(2h⁷)(6h)

12h⁸

200

Find each product or quotient. Express with positive exponents.

(-7)x(-7)⁴

(-7)⁵

300

Find each product or quotient. Express with positive exponents.

(6x⁷y^-3)/(2x²y³)

(3x⁵)/y⁶

400

Find each product or quotient. Express with positive exponents.

(-4x⁵y)(5x^-10y²)

-20y³/x⁵

500

Find each product or quotient. Express with positive exponents.

(6x^-3y⁸)/(12x^-3y⁵)

y³/6

Scientific Notation

100

Write in standard form. 

5.82 x 10⁴

58,200

200

Write in scientific notation. 

0.000561

5.61 x 10^-4

300

Express in standard form. 

9.51x10^-3

0.00951

400

Express in scientific notation. 

135,000

1.35x10⁵

500

Order the set of numbers least to greatest.

3.4x10^-2, 3.5x10^-2, 3.7x10^-3

3.7x10^-3, 3.4x10^-2, 3.5x10^-2