Free Printable Laws of Exponents

1.

$\left(ab^3c\right)^{4\ }$

a)

$a^{4\ }b^{12}c^4$

b)

$a^{\ }b^{12}c^{ }$

c)

$a^{\ }b^{12}c^4$

d)

$a^{4\ }b^7c^4$

2.

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

a)

$\frac{1}{x^4y^5}$

b)

$x^4y^5$

c)

$\frac{1}{x^4y^6}$

d)

$x^{4\ }y^6$

3.

$\left(\frac{k^4t^2}{k^2t^{-4}}\right)^{-2}$

a)

$\frac{k^8t^{-4}}{k^{-4}t^8}$

b)

\frac{k^{12}}{t^{12}}

c)

$\frac{k^4}{t^4}$

d)

$\frac{1}{k^4t^{12}}$

4.

$\left(3y^{-1}z^{3\ }\right)^{-1\ }\left(3y^2\right)$

a)

$3y^3z^3$

b)

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

c)

$\frac{9y^3}{z^3}$

d)

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

5.

$-4^0+\left(-4\right)^0$

a)

-2

b)

-1

c)

0

d)

2

6.

$\left(\frac{r^2st^5}{3r}\right)^{-2\ }$

a)

$\frac{1}{9r^2s^2t^{10}}$

b)

$\frac{9}{r^2s^2t^{10}}$

c)

$\frac{9r^6}{s^2t^{10}}$

d)

$\frac{9}{r^2s^2t^7}$

7.

$\left(\frac{5x^2}{3x^{-4}}\right)^{-1\ }$

a)

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

b)

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

c)

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

d)

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

8.

$\frac{\left(x^{-4}y^2\right)^{3\ }\left(x^2y\right)^{-1}}{\left(xy^2\right)^{-3}}$

a)

$\frac{y^{11}}{x^{11}}$

b)

$x^{11}y^{11}$

c)

$\frac{1}{x^{11}y^{11}}$

d)

$\frac{x^{11}}{y^{11}}$

9.

$\frac{0^{13}}{13^0}$

a)

$1$

b)

$\frac{1}{13}$

c)

$0$

d)

$13$

10.

$52^{0\ }-\left(-8\right)^0$

a)

0

b)

1

c)

53

d)

51

11.

$2^0+2^0$

(a)

12.

$2^{0\ }-2^{-1}$

(a)

13.

$2^{1\ }\cdot2^0$

(a)

14.

$\left(2^{-1\ }-2^{-2}\right)^{-1}$

(a)

15.

$2^0\div2^{-2}$

(a)

Laws of Exponents

Total questions: 15

Worksheet time: 15mins

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