Concept explainers
Applying Properties of Exponents In Exercises 1 and 2, use the properties of exponents to simplify each expression.
(a)
(b)
(c)
(d)
(a)
To calculate: The value of the expression
Answer to Problem 1RE
Solution:
The value of the expression
Explanation of Solution
Given Information:
The provided expression is
Formula used:
Property of exponents:
For any real number
Calculation:
Consider the provided expression,
Here, the base of the expression is the same for two exponents that is
Evaluate the value of expression by applying product rule.
Thus, the value of the expression
(b)
To calculate: The value of the expression
Answer to Problem 1RE
Solution:
The value of the expression
Explanation of Solution
Given Information:
The provided expression is
Formula used:
If the expression is in the form of
Calculation:
Consider the provided expression,
Evaluate the value of expression by applying power rule.
Thus, the value of the expression
(c)
To calculate: The value of the expression
Answer to Problem 1RE
Solution:
The value of the expression
Explanation of Solution
Given Information:
The provided expression is
Formula used:
If the expression is in the form of
Calculation:
Consider the provided expression,
Evaluate the value of expression by applying negative exponent rule.
Thus, the value of the expression
(d)
To calculate: The value of the expression
Answer to Problem 1RE
Solution:
The value of the expression
Explanation of Solution
Given Information:
The provided expression is
Formula used:
If the expression is in the form of
Calculation:
Consider the provided expression,
Evaluate the value of expression by applying quotient rule.
Thus, the value of the expression is
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Chapter 4 Solutions
Calculus: An Applied Approach (MindTap Course List)
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