Chapter 1: Q20. (page 52)

Evaluate the power.
${(0.8)}^{4}$

Short Answer

Expert verified

The value of ${(0.8)}^{4}$ after evaluating the power is 0.4096.

Step by step solution

– Explanation of the exponent formula

$a^{x} \to$ a is the base and x is exponent.

The power is the result of repeated multiplication of the same factor.

The expressionsa^xthis means that a has been used as a factor x times

Find the base and exponent of 27 and evaluate

Example: Find the base and the exponent of 2⁷ and evaluate the value.

Rule: $a^{x} \to$ a is called base and x is exponent.

a = 2 and x = 7

Base = 2 and exponent = 7

Evaluate: $2^{7} = 2 \cdot 2 \cdot 2 \cdot 2 \cdot 2 \cdot 2 \cdot 2 = 128$

Evaluate the expression (0.8)4

Evaluate the expression ${(0.8)}^{4}$

According to the exponent rule:

$a^{x} \to$ a is called base and x is power.

a = 0.8 and x = 4

In repeated multiplication: $0.8^{4} = 0.8 \cdot 0.8 \cdot 0.8 \cdot 0.8$

Evaluate the expression $0.8^{4} = 0.8 \cdot 0.8 \cdot 0.8 \cdot 0.8 = 0.4096$

The value of ${(0.8)}^{4}$ after evaluating the power is 0.4096

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Evaluate the power.
${(0.8)}^{4}$

Short Answer

Step by step solution

– Explanation of the exponent formula

Find the base and exponent of 27 and evaluate

Evaluate the expression (0.8)4

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Evaluate the power.(0.8)4

Short Answer

Step by step solution

– Explanation of the exponent formula

Find the base and exponent of 27 and evaluate

Evaluate the expression (0.8)4

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Logic and Functions

Theoretical and Mathematical Physics

Probability and Statistics

Discrete Mathematics

Calculus

Applied Mathematics

Study anywhere. Anytime. Across all devices.

Evaluate the power.
${(0.8)}^{4}$