Powers and Exponents
(2/3)3
(8/27)
Simplify using the Law of Exponents
2g2 * 7g6
14g8
Simplify using the Law of Exponents
(34)2
38
Write using a positive exponent
w-17
1/w17
Write using standard form
8.73 X 10-4
.000873
Write using Exponents
(m)(m)(m)(m)(m)
m5
Simplify using the Law of Exponents
36d10 / 6d5
6d5
Simplify using the Law of Exponents
(3v2)4
81v8
Write using a negative exponent
1/125
5-3
Write using scientific notation
52,300,000
5.23 X107
If k=3 and m= (5/6)
67 1/2
Simplify using the Law of Exponents
45 * 53 * 62 / 44 *52 * 6
4*5*6
Simplify using the Law of Exponents
(5j6)4
625j24
Simplify using a positive exponent
s-5 * s-2
1/s7
(1.4 × 103)(5.3 × 10–7)
7.42 × 10-4
(c3+d4)2 - (c+d)3
If c=-1 and d=2
224
The processing speed of a certain computer is 1011 instructions per second. Another computer has a processing speed that is 103 times as fast. How many instructions per second can the faster computer process?
1014 instructions
Express the area of the square as a monomial, with side length 12d6e7
144d12e14 units2
Evaluate
2-3 * 2-4
1/128
(7.7 × 108) + (4.31 × 107)
8.131 × 108
Compare using <,>, or =
(1/2)4 and (1/4)2
=
The Movie theater has a seating capacity of 35, and Madison Square Garden has a seating capacity of 39. About how many times as great is the capacity of Madison Square Garden in New York than a typical movie theater?
34 or 81 times
Express the volume of the cube as a monomial, with side length 7m6n9
343m18n27 units3
Simplify
(3a)(a-3)
3/a2
(1.08 × 109) / (5.4 × 10-3)
2× 1011