Chapter 7: Q8. (page 404)

Simplify the expression
$m^{4} (m^{2})$

Short Answer

Expert verified

The simplified version of $m^{4} (m^{2})$ is $m^{6}$ .

Step by step solution

Step 1. State the multiplication rule of Law of indices.

If the two terms have the same base (in this case x) and are to be multiplied together their indices are added.

In general: $x^{m} \times x^{n} = x^{m + n}$

Step 2. Simplify the expression.

Apply the multiplication rule to simplify the given expression.

$m^{4} (m^{2}) = m^{4 + 2} = m^{6}$

Step 3. State the conclusion.

As there are no other constant terms or any other variables, just add the powers of variable m and the expression is simplified.

$m^{4} (m^{2}) = m^{6}$ .

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Simplify the expression
$m^{4} (m^{2})$

Short Answer

Step by step solution

Step 1. State the multiplication rule of Law of indices.

Step 2. Simplify the expression.

Step 3. State the conclusion.

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Simplify the expressionm4m2

Short Answer

Step by step solution

Step 1. State the multiplication rule of Law of indices.

Step 2. Simplify the expression.

Step 3. State the conclusion.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Geometry

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Probability and Statistics

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Study anywhere. Anytime. Across all devices.

Simplify the expression
$m^{4} (m^{2})$