Powers and exponent's
Simplify
25
√49
√49=7
(24x 23) / (25)
24x 23/ 25 = 27 -5
= 22
= 4
A square has an area of 81 cm². What is the length of one side?
Area =81 cm2
Side length =√81= 9 cm
Evaluate: (−3)4
(−3)4 =81
√144
√144=12
(3x2y)3
(3x2y)3 = 27x6y3
A cube has a volume of 125 cm³. What is the length of one edge?
Volume =125 cm3
Edge length =3√125=5 cm
Write 82×83 as a single power.
82×83=85
Write √16 as a power with an exponent of 1/2.
√16=16 1/2
12x5/3x2
12x5/3x2 = 4x3
The side length of a square is 3x2. Write an expression for the area of the square.
(3x2)2= 9x4
Simplify:56/52
56/52=54
Simplify: 9 1/2
9 1/2=3
4m-2/2m3
4m-2/2m3 = 2m-5= 2/m5
The population of bacteria doubles every hour. If there are initially 200 bacteria, write an expression for the population after 5 hours.
200 x 25
Evaluate: 32×3-1
32x 3-1=31=3
Write 3√x2 using exponents.
3√x2= x 2/3
(5a2b-1)2
(5a2b-1)2 = 25a4b-2= 25a4/b2
A number is multiplied by itself and the result is 196. What is the number?
√196=14