Free Printable Index Laws 1-3

1.

$Simplify\ \ m^8\times m^5$

a)

$m^{40}$

b)

$m^3$

c)

$m^{13}$

d)

$m^{85}$

2.

$Simplify\ 3c^2\times8c^4$

a)

$24c^8$

b)

$38c^8$

c)

$24c^6$

3.

$Simplify\ \ 3a^2\times b^6\times7a^4\times2b^5$

a)

$42a^6b^{11}$

b)

$21a^62b^{11}$

c)

$42a^{12}b^{30}$

d)

$42ab^{17}$

4.

Simplify

20a^9\div5a^4

a)

$15a^5$

b)

$4a^{13}$

c)

$4a^5$

d)

$15a^{13}$

5.

$Simplify\ \frac{49x^{10}}{14x^6}$

a)

$35x^4$

b)

$35x^{-4}$

c)

$\frac{7}{2x^4}$

d)

$\frac{7x^4}{2}$

6.

$Simplify\ \frac{2a^{12}b^{15}}{5a^9b^5}$

a)

$\frac{2a^3b^{10}}{5}$

b)

$\frac{2a^{21}b^{20}}{5}$

c)

$-3a^3b^{10}$

d)

$\frac{2a^3}{5b^{10}}$

7.

$Simplify\ \frac{8m^4\times5m^9}{2m^3\times10m^2}$

a)

$\frac{40m^{20}}{20m^6}$

b)

$2m^{11}$

c)

$2m^{14}$

d)

$2m^8$

8.

$Simplify\ \frac{10g^5\times5g^8}{15g^{10}}$

a)

$35g^{30}$

b)

$35g^3$

c)

$\frac{10g^{30}}{3}$

d)

$\frac{10g^3}{3}$

9.

Simplify $\frac{7d^4\times4d^5}{14d^2\times2d^7}$

a)

$\frac{28d^{20}}{28d^{14}}$

b)

$d^6$

c)

1

10.

$w^{0\ }=\$

(a)

11.

$7v^{0\ }=$

(a)

12.

$\left(3g\right)^0\ =\$

(a)

13.

$3m^{0\ }+\ 7\ =\$

(a)

Index Laws 1-3

Total questions: 13

Worksheet time: 13mins

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