Free Printable Index Laws

1.

Which is the base and which is the power? 5²

a)

5 is base and 2 is power

b)

5 is base and power

c)

2 is base and 5 is power

d)

2 is base and power

2.

a x a x a x a

a)

4a

b)

a⁴

c)

a⁶

d)

a

3.

What is 6⁷in expanded form?

a)

6 x 6 x 6 x 6 x 6 x 6 x 6

b)

6 + 6 + 6 + 6 + 6 + 6

c)

6 x 7

4.

a³ x a⁵

a)

a¹⁵

b)

a²

c)

a⁸

d)

a^-2

5.

c⁵ ÷ c²

a)

c⁷

b)

c³

c)

c¹⁰

d)

c^-2

6.

(y²)³

a)

y⁵

b)

y

c)

y²³

d)

y⁶

7.

y⁸ ÷ y

a)

y⁸

b)

y³

c)

y⁹

d)

y⁷

8.

(b³)⁴

a)

b⁷

b)

b⁴

c)

b¹²

d)

b²

9.

$6^0$

a)

6x0

b)

6

c)

1

d)

60

10.

5d⁴x3d⁸

a)

8d³²

b)

15d⁴

c)

15d¹²

d)

8d¹²

11.

Simplify the following:
$\frac{a^5b^{10}}{a^3b^{3\ }}$

a)

a⁸b¹³

b)

a²b⁷

c)

a¹⁵b³⁰

d)

$ab^{9\ }$

12.

$Simplify\ \ \ \ \left(p^2\right)^4\times\left(q^4\right)^5$

a)

$p^8q^{20}$

b)

$p^6q^9$

c)

$p^{24}q^{45}$

d)

$p^8q^{15}$

13.

Simplify $\left(\frac{4v^7}{2v}\right)^2$

a)

$4v^{14}$

b)

$4v^{12}$

c)

$16v^{14}$

d)

$16v^{12}$

14.

$\frac{3x^2y^3}{2xy^2\times6x^3y^{-2}}=$

a)

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

b)

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

c)

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

d)

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

Index Laws

Total questions: 14

Worksheet time: 8mins

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