Exponent Notation 1
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Question 1 of 5
1. Question
Simplify`y xx y xx y xx y xx y xx y`Hint
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Product of Powers
$${\color{#00880A}{a}^m}\times{\color{#00880A}{a}^n}=\color{#00880A}{a}^{m+n}$$Notice the bases are the same `(y)`.Since we are multiplying the bases, add the powers.Any base without a power means to the power of `1`.`y xx y xx y xx y xx y xx y` `=` $$\color{#00880A}{y}^1 \times \color{#00880A}{y}^1 \times \color{#00880A}{y}^1 \times \color{#00880A}{y}^1 \times \color{#00880A}{y}^1 \times \color{#00880A}{y}^1$$ `=` $$\color{#00880A}{y}^{1+1+1+1+1+1}$$ Use the Product of Powers `=` `y^6` `y^6` -
Question 2 of 5
2. Question
Simplify`2 xx 2 xx 2 xx 2 xx a xx a xx a`Hint
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Product of Powers
$${\color{#00880A}{a}^m}\times{\color{#00880A}{a}^n}=\color{#00880A}{a}^{m+n}$$Using the Product of Powers, bring similar bases together.Remember that any base without a power means to the power of `1`.`2 xx 2 xx 2 xx 2 xx a xx a xx a` `=` `2^1``xx``2^1``xx``2^1``xx``2^1``xx``a^1``xx``a^1``xx``a^1` `=` $$\color{#00880A}{2}^{1+1+1+1} \times \color{#9a00c7}{a}^{1+1+1}$$ `=` $$\color{#00880A}{2}^4 \times \color{#9a00c7}{a}^3$$ `=` `2^4 a^3` Simplify further by changing `2^4` to its full value.`=` `2^4 a^3` `=` `(2xx2xx2xx2)a^3` `=` `16a^3` `16a^3` -
Question 3 of 5
3. Question
Simplify`f xx f xx f xx 5f`Hint
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Product of Powers
$${\color{#00880A}{a}^m}\times{\color{#00880A}{a}^n}=\color{#00880A}{a}^{m+n}$$First, separate the numbers and the variables.`f xx f xx f xx 5f` `=` `f xx f xx f xx 5 xx f` Next, using the Product of Powers, bring similar bases together.Remember that any base without a power means to the power of `1`.`f xx f xx f xx 5 xx f` `=` `f^1``xx``f^1``xx``f^1``xx``5^1``xx``f^1` `=` $$\color{#00880A}{f}^{1+1+1+1} \times \color{#9a00c7}{5}$$ `=` $$\color{#00880A}{f}^4 \times \color{#9a00c7}{5}$$ `=` `5f^4` `5f^4` -
Question 4 of 5
4. Question
Simplify`p xx q xx p xx q xx p`Hint
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Product of Powers
$${\color{#00880A}{a}^m}\times{\color{#00880A}{a}^n}=\color{#00880A}{a}^{m+n}$$First, put the same bases together.`p xx q xx p xx q xx p` `=` `p xx p xx p xx q xx q` Next, using the Product of Powers, bring similar bases together.Remember that any base without a power means to the power of `1`.`p xx p xx p xx q xx q` `=` `p^1``xx``p^1``xx``p^1``xx``q^1``xx``q^1` `=` $$\color{#00880A}{p}^{1+1+1} \times \color{#9a00c7}{q}^{1+1}$$ `=` $$\color{#00880A}{p}^3 \times \color{#9a00c7}{q}^2$$ `=` `p^3 q^2` `p^3 q^2` -
Question 5 of 5
5. Question
Simplify`7 xx s xx s xx s xx 2`Hint
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Product of Powers
$${\color{#00880A}{a}^m}\times{\color{#00880A}{a}^n}=\color{#00880A}{a}^{m+n}$$First, bring like terms together.`7 xx s xx s xx s xx 2` `=` `7 xx 2 xx s xx s xx s` Next, using the Product of Powers, bring similar bases together.Remember that any base without a power means to the power of `1`.`7 xx 2 xx s xx s xx s` `=` `7^1``xx``2^1``xx``s^1``xx``s^1``xx``s^1` `=` $$\color{#00880A}{14} \times \color{#9a00c7}{s}^{1+1+1}$$ `=` $$\color{#00880A}{14} \times \color{#9a00c7}{s}^3$$ `=` `14s^3` `14s^3`
Quizzes
- Exponent Notation 1
- Exponent Notation 2
- Exponent Notation 3
- Multiply Exponents (Product Rule) 1
- Multiply Exponents (Product Rule) 2
- Multiply Exponents (Product Rule) 3
- Multiply Exponents (Product Rule) 4
- Divide Exponents (Quotient Rule) 1
- Divide Exponents (Quotient Rule) 2
- Powers of a Power 1
- Powers of a Power 2
- Powers of a Power 3
- Powers of a Power 4
- Zero Powers 1
- Zero Powers 2
- Negative Exponents 1
- Negative Exponents 2
- Negative Exponents 3