7.3 Mixed Exponents
Name ________________________
Learning Objective: A.SSE.2 I will rewrite an exponential function in simplest form by using exponent rules
A.SSE.3
I will write an exponential expression in equivalent forms to solve story problems
F.IF.8
I will write an exponential expression into different equivalent forms
Rewrite each expression using only positive exponents. No Decimals.
1. (–2n–3)(4n5)
2. (4mn2)(3m–2n4)
3. (4n–7)( –6n2)
4. (5m–3n4)(4m–5n–2)
5. (x2)–3
8. (–2x4y3)–2
9.
3x 2
m5 y  4
6. (x–2y3)2
10.
3x 2 y3
9x  2 y5
7. (4x2y–2)3
11.
12xy 3
15x 3 y 4
12.
10x 4 y 6
18x 2 y 2
13. (2a–3)(5a4)
14. (–3p–5)(2p8)
15. (7n–3)(3n–2)
16. (–2x4)(8x–7)
17. (3x–1y–3)2
18. (x4y–5z–3)3
19. (5x–3y5) –4
20. (–2x–2y4)–3
21. (7x)–2
m
22.  
n
y4
25.  5
y
b6
26.  3
b
5
23.
x
y 3
1
27.
3x 2
24.
1
b b5
2
6b 7
28.
15b 5
pq7
29. 4
p q
15p 3 q2
30.
p 7 q
31.
33. x3  x–5
34. (cd)6
35.
37. (3m–2)(4m5)
38. (–9x–8y)0
39.
6x 3 y 5
27x  6 y2
40.
x 6 y
8xy
k3
k6
43.
k9
k4
44.
x 15
x 5
41.
y14 z 5
y9z 4
42.
45.
w 21w 12
w9
46. (3x–3y5)4
Answers: 1) –8n2
17)
9
2 6
x y
33)
1
x2
19)
35)
3)
 24
n5
x 12
625 y 20
256x 12
y8
5)
21)
1
x6
32.
4x y 
3
2 4
7)
64 x 6
y6
23) xy3
39)
2x 9 y 3
9
9)
3y 4
m5 x 2
25) y9
41) y5z
27)
10x 4 y 1
12x 3 y 3
36. (–7c3d)(5cd–6)
47. d3d–4
1
49x 2
37) 12m3
9x 2 y 2
15x 5 y 3
48. (–8x3y–2)(5x–7y3)
11)
4x 4
5y 7
x2
3
29)
43) k5
13) 10a
q6
p3
45) 1
3x 7
5y 5
31)
47)
15)
1
d
21
n5