Free Printable Exponent Properties B

1.

Evaluate:\ 32^0

(a)

2.

Evaluate:\ \ -\left(15\right)^{-1}

a)

-15

b)

15

c)

$-\frac{1}{15}$

d)

$\frac{1}{15}$

3.

Evaluate:\ \ \left(2\cdot3\right)^2

(a)

4.

Evaluate:\ \ \left(-3^4\cdot3^5\right)^0

(a)

5.

Evaluate:\ \left(-217\right)^1

(a)

6.

Evaluate:\ \ \left(\frac{3}{5}\right)^2

a)

$\frac{9}{25}$

b)

$\frac{6}{10}$

c)

$\frac{9}{5}$

d)

$\frac{6}{5}$

7.

Evaluate:\ \ \left(\frac{1}{5}\right)^{-2}

(a)

8.

Evaluate:\ \ \left(\frac{1}{2}\right)^{-5}

(a)

9.

Simplify:\ \ d^{\ 3}d^{-4}

a)

$d^{\ -12}$

b)

$d$

c)

$d^{\ -7}$

d)

$\frac{1}{d}$

10.

Simplify:\ \ w^3y^4z\cdot wy^{-2}z

a)

$w^3y^{-8}z$

b)

$w^4y^2z^2$

c)

$w^3y^2z$

d)

$w^4y^{-8}z^2$

11.

$Simplify:\ \ k^{\ -11}k^3$

a)

$k^{-33}$

b)

$k^9$

c)

$k^8$

d)

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

12.

$Simplify:\ \ \left(x^7\right)^2$

a)

$x^{14}$

b)

$x^9$

c)

$x^{49}$

d)

$x^5$

13.

$Simplify:\ \ \frac{z^{15}}{z^{-2}}$

a)

$z^{13}$

b)

$\frac{1}{z^{13}}$

c)

$z^{17}$

d)

$\frac{1}{z^{17}}$

14.

$Simplify:\ \ \left(\frac{1}{x^{-7}}\right)^{-5}$

a)

$\frac{1}{x^{12}}$

b)

$\frac{-5}{x^{35}}$

c)

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

d)

$\frac{1}{x^{35}}$

15.

$Simplify:\ \ \frac{y^{14}z^5}{y^9z^4}$

a)

$\frac{z}{y^5}$

b)

$y^5z$

c)

$y^{23}z^9$

d)

$\frac{1}{y^5z^9}$

16.

$Simplify:\ \ \frac{w^{21}w^{-12}}{w^9}$

a)

$1$

b)

$w^{18}$

c)

$w$

d)

$0$

17.

$Simplify:\ \ \left(3x^3y^5\right)^4$

a)

$12x^7y^9$

b)

$12x^{12}y^{20}$

c)

$81x^{12}y^{20}$

d)

$7x^7y^9$

18.

$Simplify:\ \ \left(-2a^3bc^6\right)^4$

a)

$-8a^7b^4c^{10}$

b)

$-16a^{12}c^{24}$

c)

$8a^7b^4c^{24}$

d)

$16a^{12}b^4c^{24}$

19.

$Simplify:\ \ \left(5a^2b^3\right)^3$

a)

$125a^6b^9$

b)

$15a^6b^9$

c)

$15a^5b^6$

d)

$125a^5b^6$

20.

$Simplify:\ \ \left(\frac{wz^4}{x^2}\right)^{-2}$

a)

$x^4x^2z^8$

b)

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

c)

$\frac{x^4}{w^2z^8}$

d)

$\frac{w^2z^8}{x^4}$

21.

$Simplify:\ \ \left(\frac{a^{-2}}{b^{-3}}\right)^{-2}$

a)

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

b)

$\frac{a^4}{b^6}$

c)

$\frac{b^6}{a^4}$

d)

$0$

22.

$Simplify:\ \ \left(\frac{w^6}{k}\right)^3$

a)

$\frac{w^9}{k}$

b)

$\frac{w^9}{k^3}$

c)

$w^{18}k^3$

d)

$\frac{w^{18}}{k^3}$

23.

$Simplify:\ \ \left(\frac{m^{-2}p^2}{2mp^3}\right)^{-4}$

a)

$\frac{m^9p^3}{8}$

b)

$\frac{8p^{11}}{m^7}$

c)

$\frac{16}{m^{12}p^4}$

d)

$16m^{12}p^4$

24.

$Simplify:\ \ \left(\frac{xy^3z^2}{z^{-2}}\right)^{-1}$

a)

$\frac{1}{xy^3z^4}$

b)

$xy^2$

c)

$\frac{1}{xy^3}$

d)

$xyz^4$

25.

$Simplify:\ \ \left[\frac{\left(x^2y^2\right)^3}{x^5}\right]^{-1}$

a)

$\frac{1}{xy^6}$

b)

$x^6y^6$

c)

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

d)

$y^5$

26.

$Simplify:\ \left(\frac{3x}{y}\right)^4\ \left[\frac{x^{-8}}{\left(xy\right)^3}\right]^{-2}$

a)

$\frac{12x^{26}}{y^2}$

b)

$81x^{26}y^2$

c)

$\frac{81}{x^{16}y^4}$

d)

$12x^{26}y^4$

Exponent Properties B

Total questions: 26

Worksheet time: 7hrs 30mins

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