Chapter 1: Q8. (page 10)

Evaluate the expression when m = 3.
m⁵

Short Answer

Expert verified

The value of $m^{5}$ after evaluating the power is 243 when m = 3

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

Write the product 5 · 5 · 5 · 5in exponent.

Example: Write the product $5 \cdot 5 \cdot 5 \cdot 5$ in exponent.

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

For: $5 \cdot 5 \cdot 5 \cdot 5$ :the base a = 5 and multiplied by 4 times.

In repeated multiplication: $5 \cdot 5 \cdot 5 \cdot 5$ in exponent form $5^{4}$

Evaluate the expression m5 when m = 3

Evaluate the expression $m^{5}$ whenm = 3.

According to the exponent rule:

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

a = m and x = 5

In repeated multiplication: $m^{5} = m \cdot m \cdot m \cdot m \cdot m$

When m = 3: $m^{5} = m \cdot m \cdot m \cdot m \cdot m = 3 \cdot 3 \cdot 3 \cdot 3 \cdot 3 = 243$

The value of $m^{5}$ after evaluating the power is 243.

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Evaluate the expression when m = 3.
m⁵

Short Answer

Step by step solution

– Explanation of the exponent formula

Write the product 5 · 5 · 5 · 5in exponent.

Evaluate the expression m5 when m = 3

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Evaluate the expression when m = 3.m5

Short Answer

Step by step solution

– Explanation of the exponent formula

Write the product 5 · 5 · 5 · 5in exponent.

Evaluate the expression m5 when m = 3

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Pure Maths

Statistics

Applied Mathematics

Logic and Functions

Discrete Mathematics

Geometry

Study anywhere. Anytime. Across all devices.

Evaluate the expression when m = 3.
m⁵