Free Printable Laws of Exponents

1.

$Simplify:\ \ \ \ a^4\times a^5$

a)

$a^9$

b)

$a^{20}$

c)

$2a^9$

d)

$2a^{20}$

2.

$Simplify:\ \ \ \ 3y^4\times3y^5$

a)

$6y^{20}$

b)

$9y^{20}$

c)

$6y^9$

d)

$9y^9$

3.

$Simplify:\ \ \ \ \left(a^2\right)^3$

a)

$a^6$

b)

$a^5$

c)

$a^4$

d)

$a^3$

4.

$Simplify:\ \ \ \ \left(xy\right)^3$

a)

$x^3y$

b)

$xy^3$

c)

$x^3y^3$

d)

$3xy$

5.

$Simplify:\ \ \ \ \frac{x^8}{x^2}$

a)

$x^{10}$

b)

$x^6$

c)

$2x^6$

d)

$2x^{10}$

6.

$Simplify:\ \ \ \ \left(\frac{x}{y}\right)^3$

a)

$\frac{3x}{3y}$

b)

$\frac{x}{y^3}$

c)

$\frac{x^3}{y}$

d)

$\frac{x^3}{y^3}$

7.

$Simplify:\ \ \ \ \left(\frac{2}{3}\right)^2$

a)

$\frac{4}{9}$

b)

$\frac{4}{6}$

c)

$\frac{4}{3}$

d)

$\frac{2}{6}$

8.

$Simplify:\ \ \ \ 12x^0$

a)

$12x$

b)

$1$

c)

$12$

d)

$0$

9.

$Simplify:\ \ \ \ \frac{45a^4b^2}{5a^4b}$

a)

$9$

b)

$9a$

c)

$9ab$

d)

$9b$

10.

$Simplify:\ \ \ \ \frac{a^5}{a^7}$

a)

$\frac{1}{a^2}$

b)

$a^2$

c)

$2a^2$

d)

$a^{12}$

Laws of Exponents

Total questions: 10

Worksheet time: 4mins

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