Unit 1 7R

Exponents

100

Write the product using exponents.

4 * 4 * 4 * 4 * 4

4⁵

200

Evaluate the expression.

-5³

-125

300

Evaluate the expression.

(-6)⁵

-7,776

400

Use order of operations.

3 + 2 ⋅ 3⁴

165

500

Use order of operations.

(7 ⋅ 4 − 4³ ) ÷ 6

-6

Product of Powers

100

Simplify the expression.

7⁵ * 7¹¹

7¹⁶

200

Simplify the expression.

11 * 11⁸

11⁹

300

Simplify the expression.

m^-5 * m¹⁵

m¹⁰

400

Simplify the expression.

(6w)¹⁴

6¹⁴ * w¹⁴

500

Simplify the expression.

(12²k⁷)³

12⁶k²¹

Quotient of Powers

100

Simplify the expression.

8⁸/8⁴

8⁴

200

Simplify the expression.

5³/5³

5⁰

or 1

300

Simplify the expression.

w^-23/w^-25

w²

400

Simplify the expression. 

10y⁷/5y⁴

2y³

500

Simplify the expression. 

48r¹³/12r³

4r¹⁰

Rational Numbers

100

Find the absolute value.

|-3|

3

200

Find the absolute value.

-|55|

-55

300

Find the absolute value.

|-0.22|

0.22

400

Compare the rational numbers.

|-4| __ |17|

|-4| < |17|

500

Compare the rational numbers.

|1/4| __ -|1/3|

|1/4| > -|1/3|

Rational Numbers & Exponents

100

Write the product using exponents.

(0.3) * (0.3) * (0.3)

(0.3)³

200

Write the product using exponents.

1/5 * 1/5 * 1/5 * 1/5

(1/5)⁴

300

Evaluate the expression.

(4/5)²

4²/5²

or 

16/25 = 4/5

400

Simplify the expression.

(0.5²)⁶

0.5¹²

500

Simplify the expression.

(1/5)⁴ * (1/6)⁰

(1/5)⁴