Start your trial now! First week only $4.99!*arrow_forward*

BuyFind*launch*

6th Edition

Stewart + 5 others

Publisher: Cengage Learning

ISBN: 9780840068071

Chapter 1.2, Problem 94E

**(a)**

To determine

To prove: the given Laws of exponents for the case in which

Expert Solution

**Given information:**

Law 2

**Calculation:**

Consider two positive numbers

Then, prove:

First, rewrite

Since,

**(b)**

To determine

To prove: the given Laws of exponents for the case in which

Expert Solution

**Given information:**

Law 5

**Calculation:**

Consider,

Then prove:

First rewrite

The law for powers of a product states that for ant two numbers

Now, evaluate the expression

Finally, rewrite

**(c)**

To determine

To prove: the given Laws of exponents for the case in which

Expert Solution

**Given information:**

Law 6

**Calculation:**

Consider,

Then prove:

First rewrite the expression

Therefore, for any two numbers

Apply the law to the expression

Rewrite as a product and apply the law of negative exponents to