Exponents - General
35
What is the base? What is the exponent?
Base = 3
Exponent = 5
Can we use exponent laws for this?
(a2)(b4)
No - the bases are different
(3a5)(4a2)
20a7
large/small
72
49
What does an exponent do?
Multiplies the base times itself
(x7)(x3)=
x10
12x6 / 3x4
4x2
The number for scientific multiplication has to be _________.
It's multiplied by a base which is always _____
one digit 1 - 9
base of 10
Simplify: 84(83) / 85
82
what is the expanded form of 23? Evaluate.
2 x 2 x 2 = 8
a6 / a4
a2
(3x7y4)2(xy2)
9x15y10
Write 1.23 x 105 in standard notation
123, 000
(6520x3b4a6y23)0
=1
What happens when an exponent is applied to a fraction? Evaluate (1/3)2
The exponent goes on both the numerator and denominator
1/9
(3x3)2
9x6
Evaluate (2ab2)3(3a2b3)
24a5b9
Write 9.831 x 10-6 in standard notation
0.000009831
(12x8y3)2 / (3x10y)(4x6y5)
1
Explain how you know whether the solution to a negative base with an exponent will be positive or negative.
Ex. (-3)5
For negative bases:
even exponent --> positive solution
odd exponent --> negative solution
Evaluate (3/2)-2
4/9
(3x3y4)2(5x6y4) / 15(x2y)6
3y6
Write 723 418 in scientific notation
7.23418 x 105
Write 0.000451 in scientific notation
4.51 x 10-4