Free Printable Indices

1.

Simplify: 3⁵ x 3⁷

a)

3¹²

b)

9¹²

c)

3³⁵

d)

9³⁵

2.

Simplify: 2⁸ ÷ 2²

a)

2⁶

b)

2⁴

c)

2¹⁰

d)

1

3.

Simplify: f⁰

a)

1

b)

f

c)

f¹

d)

0

4.

Simplify: $\frac{42m^{12}}{7m^{-6}}$

a)

6m¹⁸

b)

6m²

c)

35m⁶

d)

35m²

5.

Simplify: 4x²y × 9xy²

a)

36x³y³

b)

36xy³

c)

13x²y²

d)

13x³y³

6.

Simplify: $\frac{64x^{16}y^{12}}{4x^8y^3}$

a)

16x⁸y⁹

b)

16x²y⁴

c)

60x⁸y⁹

d)

60x²y⁴

7.

Simplify: (y⁷)²

a)

y¹⁴

b)

y⁴⁹

c)

y⁵

d)

y⁹

8.

Simplify: (3h²)³

a)

27h⁶

b)

27h⁵

c)

9h⁶

d)

9h⁵

9.

Simplify: (3a²b)² × (2ab)³

a)

72a⁷b⁵

b)

6a⁷b⁵

c)

36a⁵b⁴

d)

18a⁴b²

10.

Simplify: (2x²y)² × (3xy³)⁰

a)

4x⁴y²

b)

12x⁴y²

c)

4x⁵y⁵

d)

12x⁵y⁵

11.

Simplify

a)

0

b)

1

c)

9

d)

None of the above

12.

Simplify

a)

5

b)

-5a

c)

$\frac{1}{a^5}$

d)

$\frac{1}{a^{-5}}$

13.

Write in index form using negative powers. $\left(3x\right)^{-3}$

a)

$-27x^{3\ }$

b)

$\frac{1}{27x^3}$

c)

$\frac{27}{x^3}$

d)

None of the above

14.

Simplify

a)

$6x^{4\ }y^7$

b)

$24x^4y^7$

c)

$6x^2y^5$

d)

None of the above

15.

$\left(4x^{-2}y^5\right)^3$

a)

$64x^{-6}y^{15}$

b)

$12xy^8$

c)

$12x^{-6}y^{15}$

d)

$64xy^8$

16.

$\left(x^{\frac{1}{2}}\right)^4$ =

a)

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

b)

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

c)

$x^2$

d)

$x^7$

17.

a)

y⁴

b)

y⁵

c)

y⁶

d)

6^y

18.

a)

t²⁴

b)

t¹²

c)

t¹⁸

d)

t^-12

19.

Simplify $\frac{8x^3yz^4\left(-3x^2y^4\right)^3}{\left(2xyz\right)^4\left(9x^2y^5\right)}$

a)

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

b)

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

c)

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

d)

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

20.

Simplify

a)

10x³

b)

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

c)

x³

d)

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

Indices

Total questions: 20

Worksheet time: 2hrs 40mins

Similar Resources on Wayground