Follow the instructions below. Write a*a^(2) without exponents. a*a^(2)= Fill in the blank. a*a^(2)=a^(◻)

Identify Expression: We are given the expression a * a^(2). To simplify this expression without exponents, we need to use the property of exponents that states when multiplying like bases, we add the exponents.Apply Exponent Property: The base here is a, and we have a^(1) * a^(2) (since a is the same as a^(1)). According to the property of exponents, we add the exponents when multiplying like bases.Add Exponents: Adding the exponents 1 and 2 gives us a^(1+2).Simplify Exponents: Simplifying 1+2 gives us 3, so a^(1+2) becomes a^(3).Final Simplified Expression: Therefore, a * a^(2) simplifies to a^(3).

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Follow the instructions below.
Write
a*a^(2) without exponents.

a*a^(2)=
Fill in the blank.

a*a^(2)=a^(◻)

Follow the instructions below. $\newline$ Write $a \cdot a^{2}$ without exponents. $\newline$ $a \cdot a^{2}=$ $\newline$ Fill in the blank. $\newline$ $a \cdot a^{2}=a^{\square}$

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Math Problems

Algebra 2

Simplify radical expressions with variables II

Full solution

Q. Follow the instructions below.

\newline

Write

a \cdot a^{2}

without exponents.

\newline

a \cdot a^{2}=

\newline

Fill in the blank.

\newline

a \cdot a^{2}=a^{\square}

Identify Expression: We are given the expression $a \times a^{2}$ . To simplify this expression without exponents, we need to use the property of exponents that states when multiplying like bases, we add the exponents.
Apply Exponent Property: The base here is $a$ , and we have $a^{1} \times a^{2}$ (since $a$ is the same as $a^{1}$ ). According to the property of exponents, we add the exponents when multiplying like bases.
Add Exponents: Adding the exponents $1$ and $2$ gives us $a^{(1+2)}$ .
Simplify Exponents: Simplifying $1+2$ gives us $3$ , so $a^{(1+2)}$ becomes $a^{3}$ .
Final Simplified Expression: Therefore, $a \times a^{2}$ simplifies to $a^{3}$ .