Cumulative test, lessons 6 and 7

Lesson 6   Laws of exponentiation (whole number powers)
Lesson 7   Laws of exponentiation (fractional powers)

This second cumulative test is an summative assessment that measures your level of comprehension of the mathematical notions presented in Lessons 6 and 7.

Before you continue, ensure that you have a pencil and some paper handy.

You may now begin the first question, or review the lessons, if you wish.

For each question, click on the box corresponding to your answer, and then click on the 'Submit Answer' button.

1- Express in terms of powers of 2 and of 3 the following product: 4 X 9 X 36
24 X 34 22 X 32 X 62 22 X 32 X 22 X 32
     


2- Simplify the following, using the laws of exponentiation: a5b2a-3b3a2c5
a4b5c5 a-30b6c5 Neither of these answers is correct.
     


3- Simplify
55m 56m 5m
     


4- Evaluate ()3 2
x5
     


5- Simplify the following, using the laws of exponentiation:
(m + n)-12 (m + n)3 (m + n)15
     


6- Evaluate 3x1/2y X 5x1/4 X y1/3
15x1/8y4/3 15x3/4y4/3 Neither of these answers is correct.
     


7- Evaluate p1/2q-1/3 p-1/2q2/3
q1/3
     


8- Simplify ()1/2
x5/6 x1/6
     


9- Evaluate
n9/4m-7/6 Neither of these answers is correct.
     


10- Evaluate (x + y)2/3 X (x + y)
1 (x + y)-2/3 Neither of these answers is correct.