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