Free Printable Indices

1.

Write $x\times x\times x\times x\times x\times x$ in index form

a)

$6x$

b)

$x^6$

c)

$6x^6$

d)

$6$

2.

$3a^2b^3$ in expanded form is:

a)

$3\times a^2\times b^3$

b)

$3\times2a\times3b$

c)

$3\times a\times a\times b\times b\times b$

d)

$18\times a\times b$

3.

Express $24$ as a product of prime factors

a)

$4\times6$

b)

$2^2\times6$

c)

$8\times3$

d)

$2^3\times3$

4.

Simplify $x^3\times x^5$

a)

$x^{15}$

b)

$x^8$

c)

$2x^{15}$

d)

$2x^8$

5.

Simplify $2t^3\times3t^4$

a)

$5t^7$

b)

$6t^{12}$

c)

$6t^7$

d)

$5t^{12}$

6.

Simplify $g^{12}\div g^2$

a)

$g^6$

b)

$2g^{24}$

c)

$2g^{10}$

d)

$g^{10}$

7.

Simplify $\frac{d^{11}}{d^3}$

a)

$d\ ^{14}$

b)

$d\ ^{\frac{11}{3}}$

c)

$\frac{11}{3}$

d)

$d^{\ 8}$

8.

Simplify $\left(a^4\right)^3$

a)

$a^{12}$

b)

$a^7$

c)

$a^{64}$

d)

$a^{43}$

9.

Simplify $\left(3d^{\ 3}\right)^2$

a)

$6d^{\ 6}$

b)

$6d^{\ 5}$

c)

$9d^{\ 6}$

d)

$9d\ ^5$

10.

Evaluate $5^0$

a)

$50$

b)

$1$

c)

$0$

d)

$5$

11.

Evaluate $4d^{\ 0}$

a)

$1$

b)

$4d$

c)

$4$

d)

$0$

12.

Simplify $\left(ab\right)\ ^4$

a)

$ab\ ^4$

b)

$4ab$

c)

$a^4\ b^4$

d)

$ab$

13.

Simplify $\left(\frac{a}{b}\right)^3$

a)

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

b)

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

c)

$\frac{a}{b}$

d)

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

14.

Simplify $k^7\times k^2\div k^5$

a)

$k^4$

b)

$k^9$

c)

$k^{14}$

d)

$k^{19}$

15.

Simplify $\frac{9x^2y^5}{3x^3y^2}$

a)

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

b)

$\frac{6y^3}{x}$

c)

$3xy^3$

d)

$6xy^3$

Indices

Total questions: 15

Worksheet time: 6mins

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