Chapter 6: Q. 768 (page 806)

In the following exercises, simplify the expression.
${(\frac{m^{4} \cdot m}{m^{3}})}^{6}$

Short Answer

Expert verified

The simplified expression is $m^{12}$ .

Step by step solution

Step 1. Given information.

Consider the given question,

${(\frac{m^{4} \cdot m}{m^{3}})}^{6}$

Step 2. Simplify the expression.

We need to simplifying the expression, ${(\frac{m^{4} \cdot m}{m^{3}})}^{6}$ .

Using the property, $\frac{a^{m}}{a^{n}} = a^{m - n}$ and $a^{m} \cdot a^{n} = a^{m + n}$ ,

role="math" localid="1647700543079" $= {(m^{4 + 1 - 3})}^{6} = {(m^{2})}^{6}$

Using the property, ${(a^{m})}^{n} = a^{m \cdot n}$ ,

$= m^{2 \cdot 6} = m^{12}$

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In the following exercises, simplify the expression.
${(\frac{m^{4} \cdot m}{m^{3}})}^{6}$

Short Answer

Step by step solution

Step 1. Given information.

Step 2. Simplify the expression.

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In the following exercises, simplify the expression.m4·mm36

Short Answer

Step by step solution

Step 1. Given information.

Step 2. Simplify the expression.

One App. One Place for Learning.

Most popular questions from this chapter

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In the following exercises, simplify the expression.
${(\frac{m^{4} \cdot m}{m^{3}})}^{6}$