Free Printable Law of Exponents - Multiplying and Dividing (Positive)

1.

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

a)

$3h^9$

b)

$3h^{3\ }$

c)

$3h^{18}$

d)

$h^{3\ }$

2.

Simplify: $\left(5x^3\right)\left(-3x^5\right)$

a)

$-15x8$

b)

$2x^8$

c)

$-15x^2$

d)

$-15x^{-2\ }$

3.

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

a)

$-40^5$

b)

$-40y^{5\ }$

c)

$-6y^3$

d)

$-40y^9$

4.

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

a)

$5c^{21}$

b)

$5c$

c)

$125c^{21}$

d)

$125c$

5.

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

a)

$-40a^4b^6$

b)

$-40a^3b^5$

c)

$-40a^2b^4$

d)

$-3ab$

6.

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

a)

$-10x$

b)

$2x^2$

c)

$-2x^{2\ }$

d)

$-2x^8$

7.

Simplify: $\left(3x^9\right)\left(-9x^{12}\right)$

a)

$-27x^{21}$

b)

$-27x^{-3}$

c)

$-6x$

d)

$27x^{21}$

8.

Simplify: (-2)³ (-2)⁶

a)

(-2)⁹

b)

(-2)¹⁸

c)

(-2)⁻³

d)

(-2)

9.

Simplify: $\frac{n^8}{n^4}$

a)

$n^{4\ }$

b)

$n^{12}$

c)

$n^{-4}$

d)

$n^{-12}$

10.

Simplify: $\frac{n^8}{n^4}$

a)

$n^{4\ }$

b)

$n^{12}$

c)

$n^{-4}$

d)

$n^{-12}$

11.

Simplify: $\left(3g^2h^3\right)\left(-2gh\right)$

a)

$-6gh^2$

b)

$6g^3h^4$

c)

$6gh^2$

d)

$-6g^3h^4$

12.

(9mn)³

a)

729mn

b)

729m³n³

c)

27m³n³

d)

9mn³

13.

(4p³q⁶)⁴

a)

4p¹²q²⁴

b)

256p⁷q¹⁰

c)

256p¹²q²⁴

d)

4p⁷q¹⁰

14.

Simplify:

(5ab²)²

a)

25a²b⁴

b)

10a²b⁴

c)

5a²b⁴

d)

25ab²

15.

Simplify (-3x⁴y⁵)²

a)

9x⁸y¹⁰

b)

6x⁸y¹⁰

c)

3x⁸y¹⁰

d)

-9x⁸y¹⁰

16.

(2x²y³) (-4xy)²

a)

16x³y⁶

b)

-32x⁴y⁵

c)

-8x⁴y⁶

d)

32x⁴y⁵

Law of Exponents - Multiplying and Dividing (Positive)

Total questions: 16

Worksheet time: 48mins

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