Algebra I Chapter 7 Exponents
24x¹⁰
(-12x⁵)(-2x²)(x³)
18n¹¹
(-2n³)(n²)(-9n⁶)
-8x¹⁰
(-4x²)(2x⁵)(x³)
54x²⁰
(-9x⁸)(-6x¹²)
-n¹⁰
(-n²)(-n²)(-n²)(-n²)(-n²)
n¹²
(-n³)(-n³)(-n³)(-n³)
2x¹²
(-x⁷)(2x⁵)(-x)
36m¹⁷
(12m³)(3m⁸)(m⁶)
16x²⁰
(2x⁵)(2x⁵)(2x⁵)(2x⁵)
24r¹⁰
(6r³)(-2r¹)(-2r⁶)
6m³²
(3m¹²)(2m¹⁰)(m¹⁰)
12q¹²
(3q²)(4q)(q⁹)
x⁻²
1/x²
5x⁰
5
multiply exponents
to add
(x⁷)³
x²¹
x⁴*x²
x⁶
n¹⁶
(n⁴)(n⁵)(n⁶)(n)
x¹⁷
(x⁵)(x²)(x⁷)(x³)
-4y¹⁵
(y³)(4y⁸)(-y⁴)
x⁰
1
Zero Power
Any number raised to the zero power is equal to 1.
Exponential Decay
When an initial amount decreases by the same percent over a given period of time
exponential function
a function of the form f(x) = ab^x, where a and b are real numbers with a ≠ 0, b>0, and b ≠ 1
geometric sequence
a sequence in which each term is found by multiplying the previous term by the same number
Recursive Formula for Geometric Sequence
an = an-1 * r
negative exponent
an exponent less than zero which causes the base and its exponent to move positions in a fraction
Explicit Formula for Geometric Sequence
an=a1(r)^n-1
Exponential Growth
growth whose rate becomes ever more rapid in proportion to the growing total number or size.
compound interest
interest earned on both the principal amount and any interest already earned
Power of a Power
multiply the exponents
division of exponents
subtract the exponents