Chapter 11: Q. 136. (page 1069)

In the following exercises, simplify each expression.
${(y^{4})}^{3} . {(y^{5})}^{2}$

Short Answer

Expert verified

The simplified form of the given expression is $y^{22}$ .

Step by step solution

Step 1. Given information.

The given expression is ${(y^{4})}^{3} \cdot {(y^{5})}^{2}$ .

Step 2. Apply the power and product property.

Use the power property, $a^{m^{n}} = a^{m + n}$

And, use the Product Property, localid="1661185985403" $a^{m} \cdot a^{n} = a^{m + n}$

Calculation of expression using power property,

localid="1661185971084" $y^{4 \cdot 3} \cdot y^{5 \cdot 2} = y^{12} \cdot y^{10}$

Now use the product property,

localid="1661185978445" $y^{12} \cdot y^{10} = y^{12 + 10} = y^{22}$

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In the following exercises, simplify each expression.
${(y^{4})}^{3} . {(y^{5})}^{2}$

Short Answer

Step by step solution

Step 1. Given information.

Step 2. Apply the power and product property.

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Short Answer

Step by step solution

Step 1. Given information.

Step 2. Apply the power and product property.

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In the following exercises, simplify each expression.
${(y^{4})}^{3} . {(y^{5})}^{2}$