Algebra 1A Unit 1 Exam

Which expression is equivalent to (−7)[to the power of]2⋅(−7)[to the power of]5⋅(−7)[to the power of]−9

(-7)[to the power of]2

Which expression is equivalent to the expression 512[to the power of]1/4 ÷ 4[to the power of]1/8 - (10-32[to the power of]1/5)

-4

Daniel says that when the irrational number 3√7 is multiplied by any rational number, the product is always an irrational number. What value for the rational number disproves Daniel's claim? Enter your answer as the correct value, like this: 42

0

What number is equal to(1/6)[to the power of]-4 Enter your answer as the correct value, like this: 42 If your answer is a fraction, use the / symbol, like this: 42/53

1296

Which answer is the simplified form of the radical expression √288

12√2

Which expression is equivalent to (2[to the power of]4) [to the power of]3 ( ---------------------) (5[to the power of]9)

2[to the power of]12 - 5[to the power of]27

What is the value of the expression √144 ------- -5 + 16 ÷ 3√64 5√243

3

Safiya needs to find a number that can be multiplied by 18−−√3183 to result in a rational product. Which values could she use? Select all that apply.

3√1/18 3√12

Cassandra argues that (6 2/3)to the power of can be simplified to 6 to the power of (6 2/3), but Rafael argues that the exponent 6 2/3 should be replaced with another number. Enter the number that the exponent 6 2/3 should be replaced with.

4

Which expression is equivalent to 4 7/8 ------ 4 1/4

4 5/8

Which expression is equivalent to 7[to the power of]2/3 ⋅ 7[to the power of]1/4

7[to the power of]11/12

Which expression is equivalent to (8⋅3 5) 3/4

8 3/4 ⋅ 3 15/4

erica correctly simplifies the radical expression 4√81 by first rewriting it as a rational exponent. Which expression shows Terica's first step?

81 1/4

Which expression is equivalent (9 2) 9/10 (---) ( 5 )

9 9/5 --- 5 9/10

Which expressions are equivalent to (√8[to the power of]4 √6[to the power of]4)[to the power of]3/2

96(6) 1/3 xxx

Silvie states that the sum of a rational number and an irrational number is sometimes rational and sometimes irrational. Which statement correctly describes whether Silvie is correct or incorrect?

Silvie is incorrect; the sum of a rational number and an irrational number is always irrational.

Which of the following are rational numbers? Select three that apply.

√4 √1 √9