Free Printable law of indices

1.

simplify $\left(4^2\right)^3\times4^5\div\left(4^6\right)^2$

a)

$\frac{1}{4}$

b)

$4$

c)

$4^2$

d)

$\sqrt{4\overline{x}}$

2.

$^5\sqrt{-32}$

a)

$2$

b)

$-2$

c)

$\frac{1}{2}$

d)

$-2$

3.

$\alpha\times\alpha^5\times^7\div\alpha^6$

a)

$\alpha^{\frac{1}{7}}$

b)

$\alpha^{-7}$

c)

$\alpha^7$

d)

$7$

4.

$9^{\frac{5}{2}}$

a)

$243$

b)

$222$

c)

$250$

d)

$9^2$

5.

$5^5$

a)

$125$

b)

25

c)

$10$

d)

$3125$

6.

$\frac{\left(2^4\right)^2\times\left(3^5\right)^3}{\left(2^{8\ }\times3^6\right)^3}$

a)

$\frac{3^2}{2^8}$

b)

$\frac{1}{2^8}$

c)

$\frac{3^3}{2^8}$

d)

$2^8$

7.

$\frac{1}{\alpha^7}$

state in negative form:

a)

$-7$

b)

$\alpha^{-7}$

c)

$\sqrt{-\alpha}$

d)

$\frac{1}{\alpha^{-7}}$

8.

$\alpha\times\alpha\times\alpha$

a)

$3\alpha$

b)

$\alpha3$

c)

$\alpha\times3$

d)

$\alpha^3$

9.

$\frac{\left(3m^2n^3\right)^3}{6m^{3n}}$

simplify

a)

$m^3n^8$

b)

$2m^3n^8$

c)

$\frac{1}{2}m^{4n^3}$

d)

$\frac{9}{2}m^3n^8$

10.

$\left(p^2q^3r\right)^4$

a)

$p^8q^{12}r^4$

b)

$p^{16}q^3r$

c)

$p^2q^7r^1$

d)

$p^8q^2r^4$

law of indices

Total questions: 10

Worksheet time: 7mins

Similar Resources on Wayground