Free Printable INDICES 1

1.

Write 2 x 2 x 2 x 2 in index form

a)

2³

b)

2⁵

c)

16

d)

2⁴

2.

What is the correct law for multiplication? a^m x aⁿ=

a)

a^m+n

b)

a^m + aⁿ

c)

a^mxn

d)

a^mⁿ

3.

What is the correct law for division? a^m ÷ aⁿ =

a)

a^m-n

b)

a^m - aⁿ

c)

a^m÷n

d)

a^m/n

4.

What is the correct law for powers of powers? (a^m)ⁿ =

a)

a^mxn

b)

a^m+n

c)

a^m x aⁿ

d)

a^men

5.

Simplify a²× a⁵.

a)

a¹⁰

b)

a⁷

c)

7a

d)

2a⁷

6.

Simplify a⁸÷ a⁴.

a)

a¹²

b)

2a

c)

a⁴

d)

a²

7.

(-2⁶)⁵ is equivalent to

a)

-2

b)

(-2)¹¹

c)

2³⁰

d)

(-2)³⁰

8.

(3x²y³)²

a)

9x⁴y⁶

b)

3x⁴y⁵

c)

6x⁴y⁶

d)

9xy

9.

Simplify: 4x²y × 9xy²

a)

36x³y³

b)

36xy³

c)

13x²y²

d)

13x³y³

10.

Simplify 3x 4²x 3²

a)

3³x 4²

b)

4³x 3²

c)

434

d)

432

11.

Simplify the following
3²x 2⁵x 3⁶x 2⁸

a)

3⁸x 2¹²

b)

3¹² x 2⁸

c)

3⁸x 2¹³

d)

2⁸x 3 ¹²

12.

Simplify $\frac{6x^{15}}{3x^5}$

a)

$2x^{10}$

b)

$3x^3$

c)

$2x^5$

13.

Simplify $\frac{x^6y^5}{x^2y^3}$

a)

$x^4y^2$

b)

$x^3y^2$

c)

$x^8y^8$

14.

$\frac{x^8\times x^2}{x^5}$

a)

$x^5$

b)

$x^{15}$

c)

$x^2$

15.

Choose the correct rules of indices

a)

$a^m\times a^n=a^{m+n}$

b)

$a^m+a^n=a^{mn}$

c)

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

d)

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

e)

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

INDICES 1

Total questions: 15

Worksheet time: 8mins

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