Free Printable Exponents F3

1.

How else could you write $4^{-2}$ ?

a)

$16$

b)

$-16$

c)

$-\frac{1}{16}$

d)

$\frac{1}{16}$

2.

\frac{2}{x^3}=?

a)

$2x^3$

b)

$2x^{-3}$

c)

$8x^3$

d)

$8x^{-3}$

3.

Write 2 x 2 x 2 x 2 in index form

a)

2³

b)

2⁵

c)

16

d)

2⁴

4.

a⁷×a⁴÷a⁵

a)

a⁷

b)

a⁶

c)

a⁴

d)

a¹¹

5.

Simplify 4⁰

a)

1

b)

4

c)

0

6.

∛125

a)

5

b)

4

c)

6

d)

7

7.

8^⅓can also be written as

a)

$^8\sqrt{3}$

b)

$^3\sqrt{8}$

c)

512

d)

8.333

8.

Re-write the expression in radical form.

x^2/3

a)

$^3\sqrt{x^2}$

b)

$\sqrt{x^3}$

c)

$\frac{1}{x^{\frac{3}{2}}}$

d)

$3\sqrt{x^2}$

9.

Write in exponential form
$^3\sqrt{x^7}$

a)

$x^{\frac{7}{3}}$

b)

$x^{\frac{3}{7}}$

c)

3x⁷

d)

7x³

10.

4^-½=

a)

2

b)

-2

c)

½

d)

-½

11.

8^⅓=

a)

2

b)

4

c)

6

d)

2.666

12.

(3x²y³)²

a)

9x⁴y⁶

b)

3x⁴y⁵

c)

6x⁴y⁶

d)

9xy

13.

(y⁹)^-2

a)

y¹⁸

b)

y¹¹

c)

1/y¹⁸

d)

y⁹/2

14.

Which of the following is incorrect?

a)

$a^2\times a^6=a^{12}$

b)

$a^8\div a^3=a^5$

c)

$a^6\times a^3=a^9$

d)

$\left(\frac{2}{a}\right)^2=\left(\frac{4}{a^2}\right)$

15.

What is $8^{\frac{1}{3}}$ ?

a)

$\frac{8}{3}$

b)

24

c)

2

d)

$\frac{23}{3}$

16.

Simplify (34x⁵y⁶z^-7)⁰

a)

34x⁵y⁶ / z⁷

b)

34x⁵y⁶ / x^-7

c)

0

d)

1

17.

Simplify:

25 x ⁶

5 x ³

a)

20x³

b)

5x⁹

c)

5x³

18.

Write the expression using one radical. Simplify if necessary.

∜x³⋅√x

a)

x

b)

∜x⁵

c)

√x

d)

∜x²

19.

Simplify.

a)

A) Option 1

b)

B) Option 2

c)

C) Option 3

d)

D) Option 4

20.

Choose the correct statement

$\left(a^m\right)^n$

a)

$a^{mn}$

b)

$a^{\left(m+n\right)}$

c)

$a^{\left(m-n\right)}$

d)

$a^{\frac{m}{n}}$

Exponents F3

Total questions: 20

Worksheet time: 27mins

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