Product and Power to a Power Law

Authored by Sarah Trosa

Mathematics

6th - 8th Grade

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16 questions

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MATH RESPONSE QUESTION

2 mins • 1 pt

Simplify the following:
2x²y³ * 4x⁴y⁷

$8x^6y^{10}$

Mathematical Equivalence

MATH RESPONSE QUESTION

2 mins • 1 pt

Simplify the following:
15a¹³b⁵c¹⁷ / 5a⁴c¹⁵

$3a^9b^5c^2$

Mathematical Equivalence

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

$3^2\ \cdot\ 3^4$

$3^6$

$9^6$

$3^8$

$9^8$

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

$3g^6\ \cdot\ 2g^2$

$6g^8$

$6g^{12}$

$3g^2$

$2g^6$

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

$4h^3\ \cdot\ 5h^4$

$9h^{12}$

$9h^7$

$20h^7$

$20h^{12}$

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

$2d^4\ \cdot\ 3d^2\ \cdot\ d^3$

$6d^{11}$

$6d^9$

$5d^9$

$5d^{11}$

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

$2w\ \cdot\ 3w^4\ \cdot\ f\ \cdot\ f^4$

$6w^5\ \cdot\ 2f^5$

$f^5\ \cdot\ 6w^5$

$f^4\ \cdot\ 6w^4$

$5w^{5\ }\cdot\ f^5$

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

$2x^2y^4z^7\ \ \cdot\ 3x^6y^3\$

$6x^{12}y^{13}$

$5x^5y^3d$

$6x^8y^7z^7\$

$6x^6y^9d$

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

$\frac{\left(x^5\right)^{ }}{x^3}$

x²

x⁸

x¹⁵

10.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

$\frac{\left(28x^{30}\right)^{ }}{7x^{17}}$

4x¹³

21x¹³

4x⁴⁷

21x²

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Product and Power to a Power Law

Simplify the following:2x2y3 * 4x4y7

Simplify the following:15a13b5c17 / 5a4c15

32 ⋅ 343^2\ \cdot\ 3^432 ⋅ 34

3g6 ⋅ 2g23g^6\ \cdot\ 2g^23g6 ⋅ 2g2

4h3 ⋅ 5h44h^3\ \cdot\ 5h^44h3 ⋅ 5h4

2d4 ⋅ 3d2 ⋅ d32d^4\ \cdot\ 3d^2\ \cdot\ d^32d4 ⋅ 3d2 ⋅ d3

2w ⋅ 3w4 ⋅ f ⋅ f42w\ \cdot\ 3w^4\ \cdot\ f\ \cdot\ f^42w ⋅ 3w4 ⋅ f ⋅ f4

2x2y4z7 ⋅ 3x6y3 2x^2y^4z^7\ \ \cdot\ 3x^6y^3\ 2x2y4z7 ⋅ 3x6y3

(x5)x3\frac{\left(x^5\right)^{ }}{x^3}x3(x5)​

(28x30)7x17\frac{\left(28x^{30}\right)^{ }}{7x^{17}}7x17(28x30)​

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Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Mathematics

Simplify the following:
2x²y³ * 4x⁴y⁷

Simplify the following:
15a¹³b⁵c¹⁷ / 5a⁴c¹⁵

$3^2\ \cdot\ 3^4$

$3g^6\ \cdot\ 2g^2$

$4h^3\ \cdot\ 5h^4$

$2d^4\ \cdot\ 3d^2\ \cdot\ d^3$

$2w\ \cdot\ 3w^4\ \cdot\ f\ \cdot\ f^4$

$2x^2y^4z^7\ \ \cdot\ 3x^6y^3\$

$\frac{\left(x^5\right)^{ }}{x^3}$

$\frac{\left(28x^{30}\right)^{ }}{7x^{17}}$