Lesson
Monomials (Product, Quotient, and Power)
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• Slide 1
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Monomials

Product of Powers

Quotient of Powers

Power of Power

• Slide 2
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Product of Powers

$3^{4\ }\cdot\ 3^6\ =\ 3^{4+6}\ =\ 3^{10}$

If the bases are the same then we keep the base and add the exponents

• Slide 3
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Quotient of Powers

$\frac{3^6}{3^4}=3^{6-4}=\ 3^2$

If the bases are the same then we keep the base and subtract the exponents.

• Slide 4
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Power of Powers

$\left(3^4\right)^{6\ }=\ 3^{4\cdot6}\ =\ 3^{24}$

When an exponent is raised to another exponent, multiply the exponents and keep the base.

When exponents (powers) are side-by-side, multiply the exponents and keep the base.

• Question 5
60 seconds
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Q.

In Product of Powers property what do you do to the exponents?

subtract

multiply

divide

• Question 6
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Q.

In Power of Powers property what do you do to the exponents?

subtract

multiply

divide

• Question 7
60 seconds
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Q.

In Quotient of Powers property what do you do to the exponents?

subtract

multiply

divide

• Question 8
60 seconds
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Q.

Which property rule does this expression follow?

$5^2\ \cdot\ 5^8$

Product of Powers

Power of Powers

Quotient of Powers

• Question 9
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Q.

Which property rule does this expression follow?

$\frac{16a^7b^2}{14a^5b}$

Product of Powers

Quotient of Powers

Power of Powers

• Question 10
60 seconds
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Q.

Which property rule does this expression follow?

$\left(7^5\right)^2$

Product of Powers

Power or Powers

Quotient of Powers

• Question 11
60 seconds
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Q.

Simplify the expression

$8^7\cdot8^2$

$8^{14}$

$8^9$

$8^5$

• Question 12
60 seconds
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Q.

Simplify the expression

$\left(12^2\right)^4$

$12^6$

$12^8$

$12^2$

• Question 13
60 seconds
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Q.

Simplify the expression

$12^4\cdot12^{15}$

$12^{19}$

$12^{60}$

$12^{11}$

• Question 14
60 seconds
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Q.

Simplify the expression

$\left(52^5\right)^4$

$52^9$

$52^{20}$

$52^1\ or\ 52$

• Question 15
30 seconds
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Q.

$\left(9^6\right)^5$

Simplify the expression

$9^{30}$

$9^{11}$

$9^1$

$9^{12}$

• Question 16
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Q. True or False:
True
False
• Question 17
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Q.

In this problem, how should you simplify the expression?

You cannot simplify

You subtract the exponents

You multiply the exponents

• Question 18
30 seconds
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Q.

Simplify the expression

$\left(7.5^5\right)^{20}$

$\left(7.5\right)^{25}$

$\left(7.5\right)^{15}$

$\left(7.5\right)^4$

$\left(7.5\right)^{100}$

• Question 19
30 seconds
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Q.

Simplify this expression $\frac{13^{14}}{13^8}$

$13^{112}$
$13^6$
$13^{22}$
$13^{1.75}$