Free Printable Product and Quotient Rules with Coefficients HW

1.

Simplify 2m⁴• 5m²

a)

10m⁶

b)

10m⁸

c)

7m⁶

d)

7m⁸

2.

a)

4y⁶

b)

4y²²

c)

30y⁶

d)

30y²²

3.

Which statement is correct?

a)

1⁰ = 1

b)

0¹= 1

c)

1⁰ = 0

d)

1¹ = 0

4.

How would you simply (2x⁵)(6x⁴) ?

a)

MULTIPLY both the coefficients and MULTIPLY the exponents

b)

DIVIDE the coefficients then SUBTRACT the exponents

c)

Combine like terms

d)

MULTIPLY the coefficients then ADD exponents

5.

$\left(6c^3de^2\right)\left(5c^7d^8e^{10}\right)$

a)

$30c^{10}d^9e^{12}$

b)

$11c^{10}d^8e^{12}$

c)

$30c^{10}d^8e^{12}$

d)

$c^{10}d^9e^{12}$

6.

Simplify: $\frac{9h^6}{3h^3}$

a)

$3h^9$

b)

$3h^{3\ }$

c)

$3h^{18}$

d)

$h^{3\ }$

7.

Simplify: $\frac{25c^{11}}{5c^{10}}$

a)

$5c^{21}$

b)

$5c$

c)

$125c^{21}$

d)

$125c$

8.

Simplify: $\left(4y^7\right)\left(-10y^2\right)$

a)

$-40^5$

b)

$-40y^9$

c)

$-6y^3$

d)

$-40y^{-9}$

9.

Simplify: $\frac{20x^5}{-10x^3}$

a)

$-10x$

b)

$2x^2$

c)

$-2x^{2\ }$

d)

$-2x^8$

10.

Simplify: $\left(5a^3b^5\right)\left(8ab\right)$

a)

$40a^4b^6$

b)

$-40a^3b^5$

c)

$40a^2b^4$

d)

$-3ab$

11.

a)

2a⁴b⁴

b)

4a³b⁴

c)

4a⁸b⁵

d)

2a⁴b³

12.

$\frac{18w^{15}v^{10}}{6w^3v^2}$

a)

$12w^{12}v^8$

b)

$3w^{12}v^8$

c)

$3w^5v^5$

d)

$12w^5v^5$

Product and Quotient Rules with Coefficients HW

Total questions: 12

Worksheet time: 14mins

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