Download Math 125 Exam 1 Perform the indicated operation. Write your

Math 125
Exam 1
Perform the indicated operation. Write your answer in lowest terms.
28 13
14 13
182
==
1) 29 18
29
9
261
2) -4
3)
7
43
·9=· 9 = - 43
9
9
5
15
5 24 1 2 2
÷
=
·
= · =
12 24 12 15 3 1 3
4) - 2
2
16 1
2 1
2
÷8=· = - · =7
7 8
7 2
7
5) -
5
1
5 5 1
3
25
3
22
+
=- · +
· =+
=9 15
9 5 15 3
45 45
45
6) 4
2
8
2 5
8
10
8
18
18
3
3
1
+7
=4 · +7
=4
+7
= 11
= 11 +
= 11 + 1
= 12
= 12
3
15
3 5
15
15
15
15
15
15
15
5
7) - 15
1
2
1
- 9 = - 15
5
9
5
·
bold step is optional
9
2 5
9
10
19
- 9 · = - 15
-9
= - 24
9
9 5
45
45
45
Simplify.
8) 5[(6 + 3· 6 2 ) - 2( 8 - 3)]
5[(6 + 3· 36) - 2(5)]
5[(6 + 108) -10]
5[114 - 10]
5 104
520
9) - 41 - 7 · 4 + 30 ÷ (6 - (-4)) - 43
- 41 -28 + 30 ÷ (10) -64
- 13 + 3 - 64
13) - 61
- 74
1
bold step is optional
bold step is optional
10) 23x - 9(y + 3) - (12x - 3) - 2y
23x - 9y - 27 - 12x + 3) - 2y
11x - 11y - 24
11) - 3(3x 6 y2 )2 (5x 4 y2 )
- 3(9x 12y4)(5x 4 y2 )
-135x 16y6
Simplify. (Assume all variables are nonzero.)
10x 9 y4 z 5
= 5x5z 3
12)
4
4
2
2x y z
13)
2a 2 b5 6
2a 2 6 64a 12b6
=
=
c24
b4 c4
c4
Simplify the expression. Write the result without using negative exponents. (Assume all variables represent nonzero
real numbers.)
6 -2x 5y2 -3 6 6x -15y-6 46656x 3
729
14) -1 -3
= 3 -3 9 =
= 12 15
15
15
64x y
x y
4 xy
4 x y
Convert the given number to standard notation.
15) 4.212 × 10-5 = .00004212
Convert the given number to scientific notation.
16) 45,000,000 = 4.5 × 107
Perform the indicated calculation. Express your answer using scientific notation.
17) (4.9 × 10-3 )(6.6 × 106 ) = 32.34 × 103 = 3.234 × 104
Write each number in scientific notation, then perform the indicated calculation. Express your answer using scientific
notation.
18) (0.0000000055)(190,000,000,000) = 5.5 × 10-9 1.9 × 1011 = 10.45 1.9 × 102 = 1.045 1.9 × 103
2