Chapter 2: Powers Exercise – 2.2

Question: 1

Write each of the following in exponential form:

Solution:

 

Question: 2

Evaluate:

Solution:

 

Question: 3

Express each of the following as a rational number in the form p/q:

Solution:

 

Question: 4

Simplify:

Solution:

 

Question: 5

Express each of the following rational numbers with a negative exponent:

Solution:

 

Question: 6

Express each of the following rational numbers with a positive exponent.

Solution:

 

Question: 7

Simplify:

Solution:

 

Question: 8

By what number should 5^-1 be multiplies so that the product may be equal to (–7)^-1?

Solution:

 

Question: 9

By what number should (1/2)^-1 be multiplies so that the product may be equal to (-4/7)^-1?

Solution:

 

Question: 10

By what number should (-15)^-1 be divided so that the quotient may be equal to (- 5)-1

Solution:

 

Question: 11

By what number should (5/3)^-2 be multiplies so that the product may be (7/3)^-1?

Solution:

 

Question: 12

Find x, if:

Solution:

 

Question: 13

Solution:

 

Question: 14

Find the value of x for which 5^2x ÷ 5^-3 = 5⁵.

Solution:

5^2x ÷ 5^-3 = 5⁵

5^2x+3 = 5⁵

2x + 3 = 5

2x = 2

x = 1

Hence, x is 1.