Free Printable Laws of Exponents Review- Week of 4.13.2020

1.

What is the general rule for $\left(x^a\right)^b$ ?

a)

$x^{a\ +\ b\ }$

b)

$x^{a-b}$

c)

$x^{\left(a\ \cdot\ b\right)}$

d)

1

2.

What is the general rule for $\frac{x^a}{x^b}$ ?

a)

$x^{a+b}$

b)

$x^{a-b}$

c)

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

d)

0

3.

What is the general rule for $\left(x\ \cdot\ y\right)^a$ ?

a)

$xy^a$

b)

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

c)

$x^a\ \cdot\ y^a$

d)

$x^ay$

4.

What is the general rule for $x^0$ ?

a)

1

b)

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

c)

$x^{a\ \cdot\ b}$

d)

0

5.

What is the general rule for $x^a\ \cdot\ x^b$ ?

a)

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

b)

$x^{a-b}$

c)

$x^{a\ \cdot\ b}$

d)

$x^{a+b}$

6.

What is the general rule for $\left(\frac{x}{y}\right)^a$ ?

a)

1

b)

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

c)

$x^a\ \cdot\ y^a$

d)

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

7.

What is the general rule for $x^{-a}$ ?

a)

0

b)

$\frac{1}{x^{-a}}$

c)

1

d)

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

8.

Simplify: $2p^2\ \cdot\ 3p^{-3}$

a)

$12p^4$

b)

$\frac{6}{p}$

c)

4

d)

$\frac{1}{p^7}$

9.

Simplify: $2a\ \cdot\ 3a^{-3}b^4$

a)

$a^7b^7$

b)

$\frac{12a^7}{b^3}$

c)

$\frac{4a^9}{b^9}$

d)

$\frac{6b^4}{a^2}$

10.

Simplify: $\frac{3p^2}{4p^{-1}}$

a)

$3p^4$

b)

$2p^2$

c)

$\frac{3p^3}{4}$

d)

$\frac{3p^6}{2}$

11.

Simplify: $\frac{2x^0}{3y^{-4}}$

a)

$\frac{2y^4}{3}$

b)

$\frac{4x}{y^6}$

c)

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

d)

$\frac{4}{x^7y}$

12.

Simplify: $\left(4v^2\right)^2$

a)

$\frac{1}{4v^2}$

b)

$\frac{v^9}{27}$

c)

$16v^4$

d)

$\frac{1}{16v^8}$

13.

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

a)

$\frac{1}{81x^8}$

b)

$\frac{1}{256x^{16}}$

c)

$256x^4$

d)

$4x^6$

14.

Simplify: $\left(b^4b^{-2}\right)^{-2}$

a)

$\frac{16}{b^{14}}$

b)

$\frac{1}{2b^4}$

c)

$2b^4$

d)

$\frac{1}{b^4}$

15.

Simpilfy: $\left(\frac{r^{-3}}{r^3}\right)^{-3}$

a)

$\frac{1}{4r^4}$

b)

$\frac{r^9}{16}$

c)

$r^6$

d)

$r^{18}$

Laws of Exponents Review- Week of 4.13.2020

Total questions: 15

Worksheet time: 1hrs 15mins

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