Zero Powers 2
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Question 1 of 4
1. Question
Simplify`(5x)^0+5x^0`- (6)
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Power of Zero
$$\color{#A57200}{a^0}=\color{#A57200}{1}$$Apply the Power of Zero, then simplify.$$(5x)^0+5\color{#A57200}{x^0}$$ `=` $$\color{#A57200}{5^0}\color{#A57200}{x^0}+(5 \times \color{#A57200}{1})$$ `a^0 =1` `=` $$(\color{#A57200}{1} \times \color{#A57200}{1})+5$$ `=` `1+5` `=` `6` `6` -
Question 2 of 4
2. Question
Simplify`2a^0 +8b^0`- (10)
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Power of Zero
$$\color{#A57200}{a^0}=\color{#A57200}{1}$$Apply the Power of Zero, then simplify.$$2\color{#A57200}{a^0}+8\color{#A57200}{b^0}$$ `=` $$2(\color{#A57200}{1})+8(\color{#A57200}{1})$$ `a^0 =1` `=` `2+8` `=` `10` `10` -
Question 3 of 4
3. Question
Simplify`(6x^2 y^3 z)^0`- (1)
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Power of a Power
$${(a^\color{#007DDC}{m})}^{\color{#9a00c7}{n}}=a^{\color{#007DDC}{m} \times \color{#9a00c7}{n}}$$Power of Zero
$$\color{#A57200}{a^0}=\color{#A57200}{1}$$Apply the Power of a Power and the Power of Zero to simplify the equation.$${(6x^{\color{#007DDC}{2}}y^{\color{#007DDC}{3}}z)}^\color{#9a00c7}{0}$$ `=` $$6^{\color{#9a00c7}{0}}x^{\color{#007DDC}{2} \times \color{#9a00c7}{0}}y^{\color{#007DDC}{3} \times \color{#9a00c7}{0}}z^{\color{#9a00c7}{0}}$$ `=` $$\color{#A57200}{6^0}\color{#A57200}{x^0}\color{#A57200}{y^0}\color{#A57200}{z^0}$$ `=` $$\color{#A57200}{1} \times \color{#A57200}{1} \times \color{#A57200}{1} \times \color{#A57200}{1}$$ `a^0 =1` `=` `1` `1` -
Question 4 of 4
4. Question
Simplify`(3b^2)/(b^2)`- (3)
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Quotient of Powers
$${\color{#00880A}{a}^m}\div{\color{#00880A}{a}^n}=\frac{{\color{#00880A}{a}^m}}{{\color{#00880A}{a}^n}}=\color{#00880A}{a}^{m-n}$$Power of Zero
$$\color{#A57200}{a^0}=\color{#A57200}{1}$$Apply the Quotient of Powers and the Power of Zero to simplify the equation.$$\frac{3\color{#00880A}{b}^2}{\color{#00880A}{b}^2}$$ `=` $$3\color{#00880A}{b}^{2-2}$$ `=` $$3\color{#A57200}{b^0}$$ `=` $$3 \times \color{#A57200}{1}$$ `a^0 =1` `=` `3` `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
- Rational Exponents 1
- Rational Exponents 2
- Rational Exponents 3
- Mixed Operations with Exponents 1
- Mixed Operations with Exponents 2