wayground logo

Free Printable Worksheets

NEW

Font size

S
M
L
XL
Worksheets

Simplifying Exponents Practice

Total questions: 27

Worksheet time: 31mins

Name
Class
Date
1.

8983\frac{8^9}{8^3}  

a)

868^6  

b)

186\frac{1}{8^6}  

c)

8128^{12}  

d)

1812\frac{1}{8^{12}}  

2.

15x93x6\frac{15x^9}{3x^6}  

a)

12x312x^3  

b)

5x35x^3  

c)

x35\frac{x^3}{5}  

d)

112x3\frac{1}{12x^3}  

3.

(y7)4\left(y^7\right)^4  

a)

y11y^{11}  

b)

y28y^{28}  

c)

11y11y  

d)

28y28y  

4.

(22)(23)\left(2^2\right)\left(2^3\right)  

a)

252^5  

b)

262^6  

c)

2102^{10}  

d)

242^4  

5.

y5y9y2y^5\cdot y^9\cdot y^2  

a)

16y16y  

b)

y16y^{16}  

c)

12y12y  

d)

y12y^{12}  

6.

(8x3)(7x4y3)\left(8x^3\right)\left(-7x^4y^3\right)  

a)

8x37x4y3\frac{8x^3}{7x^4y^3}  

b)

x7y3x^7y^3  

c)

56x7y3-56x^7y^3  

d)

87xy3\frac{8}{7xy^3}  

7.

14x5y5x3y314x^5y^5x^3y^3  

a)

22xy822xy^8  

b)

14x5y314x^5y^3  

c)

22x8y822x^8y^8  

d)

14x8y814x^8y^8  

8.

x2x7\frac{x^2}{x^7}  

a)

x9x^9  

b)

1x9\frac{1}{x^9}  

c)

x5x^5  

d)

1x5\frac{1}{x^5}  

9.

x10y10z10x3y2z\frac{x^{10}y^{10}z^{10}}{x^3y^2z}  

a)

x13y12z11x^{13}y^{12}z^{11}  

b)

1x7y8z9\frac{1}{x^7y^8z^9}  

c)

x7y8z9x^7y^8z^9  

d)

1x13y12z11\frac{1}{x^{13}y^{12}z^{11}}  

10.

(10m4)8\left(10m^4\right)^8  

a)

10m1210m^{12}  

b)

108m1210^8m^{12}  

c)

108m3210^8m^{32}  

d)

10m3210m^{32}  

11.

(4x2y3z)3\left(4x^2y^3z\right)^3  

a)

4x5y3z34x^5y^3z^3  

b)

43x5y6z34^3x^5y^6z^3  

c)

4x6y9z34x^6y^9z^3  

d)

43x6y9z34^3x^6y^9z^3  

12.

(wxyz)6\left(wxyz\right)^6  

a)

w6x6y6z6w^6x^6y^6z^6  

b)

wxyz6wxyz^6  

c)

wx3yz3wx^3yz^3  

d)

w2x2y2zw^2x^2y^2z  

13.

454^{-5}  

a)

120\frac{1}{20}  

b)

120-\frac{1}{20}  

c)

145\frac{1}{4^5}  

d)

145-\frac{1}{4^5}  

14.

1y6\frac{1}{y^{-6}}  

a)

y6y^6  

b)

y6-y^6  

c)

6y-6y  

d)

16y\frac{1}{-6y}  

15.

6z36z^{-3}  

a)

16z3\frac{1}{6z^3}  

b)

16z3\frac{1}{-6z^3}  

c)

6z3\frac{6}{z^3}  

d)

6z3-\frac{6}{z^3}  

16.

x9x10\frac{x^{-9}}{x^{10}}  

a)

x10x9\frac{x^{10}}{x^9}  

b)

x9x10\frac{x^9}{x^{10}}  

c)

1x\frac{1}{x}  

d)

1x19\frac{1}{x^{19}}  

17.

x0x^0  

a)

1

b)

0

c)

x

d)

100

18.

(5y)0\left(5y\right)^0  

a)

5

b)

5y

c)

1

d)

0

19.

9t09t^0  

a)

1

b)

t

c)

9

d)

0

20.

(9)(2)(4)0\left(9\right)\left(-2\right)\left(4\right)^0  

a)

1

b)

-18

c)

18

d)

9

21.
a)
y3/8
b)
y3/24
c)
y/24
d)
y3/83
22.
Simplify (8y3)6
a)
8y18
b)
86y18
c)
48y18
d)
8y9
23.
a)
2a2b6
b)
1/2a2b6
c)
b6/2a2
d)
2b6/a2
24.
a)
b)
c)
d)
25.
a)

a-3

b)

a3

c)

3a

d)

1/a-3

26.
a)
b)
c)
d)
27.
a)
b)
c)
d)