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# 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 52x ÷ 5-3 = 55.

52÷ 5-3 = 55

52x+3 = 55

2x + 3 = 5

2x = 2

x = 1

Hence, x is 1.