Zero Powers 2

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Algebra 2

Exponents

Zero Powers

Zero Powers 2

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Question 1 of 4

Simplify

$(5x)^0+5x^0$

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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

Simplify

$(6x^2 y^3 z)^0$

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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.

$\frac{3\color{#00880A}{b}^2}{\color{#00880A}{b}^2}$ $=$ $3\color{#00880A}{b}^{2-2}$

$=$ $3\color{#A57200}{b^0}$

$=$ $3 \times \color{#A57200}{1}$ $a^0 =1$

$=$ $3$

$3$

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Quiz summary

Information

1. Question

Hint

Correct!

Power of Zero

2. Question

Hint

Excellent!

Power of Zero

3. Question

Hint

Keep Going!

Power of a Power

Power of Zero

4. Question

Hint

Fantastic!

Quotient of Powers

Power of Zero

Quizzes

	$2\color{#A57200}{a^0}+8\color{#A57200}{b^0}$
$=$	$2(\color{#A57200}{1})+8(\color{#A57200}{1})$	$a^0 =1$
$=$	$2+8$
$=$	$10$

$\frac{3\color{#00880A}{b}^2}{\color{#00880A}{b}^2}$	$=$	$3\color{#00880A}{b}^{2-2}$
	$=$	$3\color{#A57200}{b^0}$
	$=$	$3 \times \color{#A57200}{1}$	$a^0 =1$
	$=$	$3$