Power of a Product and Quotient Property

Authored by Lisa Lee

Mathematics

8th Grade

Power of a Product and Quotient Property

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20 questions

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MULTIPLE CHOICE QUESTION

1 min • 5 pts

According to exponent rules, when we multiply two powers with the same base we _______ the exponents.
Example: 2⁶ ⋅ 2⁴

add

subtract

multiply

divide

MULTIPLE CHOICE QUESTION

1 min • 5 pts

According to exponent rules, when we divide two powers with the same base we _______ the exponents.
Example: 6⁸/6³

add

subtract

multiply

divide

MULTIPLE CHOICE QUESTION

2 mins • 10 pts

Simplify the expression.

7⁶

7^-5

1/7⁵

7⁵

MULTIPLE CHOICE QUESTION

2 mins • 15 pts

Evaluate the expression using the quotient rule.

3⁴

3^-4

3^-12

3³²

MULTIPLE CHOICE QUESTION

2 mins • 15 pts

Simplify: $2^3\cdot2^4\cdot3^2$

$2^{12}\cdot3^2$

$12^9$

$2^7\cdot3^2$

$6^9$

MULTIPLE CHOICE QUESTION

5 mins • 20 pts

Simplify: $4x^5\cdot6x^{10}$

$24x^{15}$

$10x^{15}$

$\sqrt{24x^{15}}$

$\sqrt{10x^{15}}$

MULTIPLE CHOICE QUESTION

5 mins • 15 pts

Simplify: $\frac{12r^{15}}{2r^3}$

$72r^3$

$72r^{27}$

$6r^3$

$6r^{12}$

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Power of a Product and Quotient Property

According to exponent rules, when we multiply two powers with the same base we _______ the exponents.
Example: 2⁶ ⋅ 2⁴