Simplify each expression.
35
3 to the fifth
43
4 cubed
24
2 to the fourth
108
10 to the eighth
(23)3
open , 2 thirds , close cubed
(12)4
open , 1 half , close to the fourth
(0.4)6
open 0.4 close to the sixth
74
7 to the fourth
20−2⋅32
20 minus 2 middle dot , 3 squared
6+4÷2+3
6 plus 4 divides 2 plus 3
(62−33)÷2
open , 6 squared , minus , 3 cubed , close divides 2
5⋅22÷2+8
5 middle dot , 2 squared , divides 2 plus 8
80−(4−1)3
80 minus . open 4 minus 1 close cubed
52+82−3(4−2)3
52 plus , 8 squared , minus 3 . open 4 minus 2 close cubed
64÷329
fraction 6 to the fourth , divides , 3 squared , over 9 end fraction
2⋅7+49÷3
fraction 2 dot 7 plus 4 , over 9 divides 3 end fraction
See Problem 3.
Evaluate each expression for s=4
bold italic s equals 4 and t=8.
bold italic t equals 8 .
(s+t)3
open s plus t close cubed
s4+t2+s÷2
s to the fourth , plus , t squared , plus s divides 2
(st)2
open s t close squared
3st2÷(st)+6
3 s , t squared , divides open s t close plus 6
(t−s)5
open t minus s close to the fifth
(2s)2t
open 2 s close squared . t
2st2−s2
2 s , t squared , minus , s squared
2s2−t3÷16
2 , s squared , minus , t cubed , divides 16
(3s)3t+ts
fraction open , 3 s , close cubed . t plus t , over s end fraction
See Problem 4.
Write an expression for the amount of change you will get when you pay for a purchase p with a $20 bill. Make a table to find the amounts of change you will get for purchases of $11.59, $17.50, $19.00, and $20.00.
An object's momentum is defined as the product of its mass m and velocity v. Write an expression for the momentum of an object. Make a table to find the momentums of a vehicle with a mass of 1000 kg moving at a velocity of 15 m/s, 20 m/s, and 25 m/s.
1 answer
Change = 20 - p
Table for purchases:
Purchase | Amount of Change
$11.59 | $8.41
$17.50 | $2.50
$19.00 | $1.00
$20.00 | $0.00
Expression for momentum:
Momentum = m * v
Table for momentums:
Velocity (m/s) | Momentum
15 | 15,000 kg·m/s
20 | 20,000 kg·m/s
25 | 25,000 kg·m/s