Unit 1 Review

Exponents

100

Write the product using exponents.

7*7*7

7^3

200

Write the product using exponents.

2*2*x*x*x*x*x

2^2 * x^5

300

Evaluate.

-3^4

-108

400

Use order of operations.

(7 ⋅ 4 − 43) ÷ 6

-2.5

500

Use order of operations.

0.5(44 − 6 ⋅ 32)

-74

Product of Powers

100

Simplify.

4^2 * 4^5

4^7

200

Simplify.

x^3 * x ^5 * x^7

x^15

300

Simplify.

y^-3 * y^30

y^27

400

Simplify.

5^-1 * 5^4 * 5^11

5^14

500

Simplify.

w * w * w * w^-3

1

Quotient of Powers

100

Simplify.

x^16 / x^10

x^6

200

Simplify.

23^8 / 23^4

23^4

300

Simplify.

1.2^30 / 1.2^19

1.2^11

400

Simplify.

x^13 / x^22

1/x^9

500

Simplify.

y^4 * y^3 / y * y^6

1

Rational Numbers

100

Find the absolute value:  

| −6 |

6

200

Find the absolute value:

 |−0.2 |

0.2

300

Find the absolute value:

- |−39|

-39

400

Compare the values.

3 ___ -|3|

3 > -3

500

Compare the values.

-|4.9| ___ |-5.2|

-4.9 < 5.2

Product of Quotients

100

Simplify.

(1/2)^3

1/8

200

Simplify.

(x/y)^4

x^4 / y^4

300

Simplify.

(2^2/3^2) ^2

16/81

400

Simplify.

-(1/5)^4

-(1/625)

500

Simplify.

-(a^9 / b^10) ^3

-(a^27 / b^30)