Algebra 1 Chapter 6 Final

properties of exponent

100

The 6.7 to the zeroth power 

what is one

200

for any interger n and any nonzero number a,a^-n is the reciprocal aⁿ

what is the negative exponents

300

is To find a Power of a Power, Multiply the Exponents

what is power of a power property

400

Let a be a real number, and let m and n be intergers 

what is The product of Power Property

500

The For any nonzero number a, a⁰=1. The power 0⁰ is undefined

what is zero exponents

radicals and rational exponents

100

128^1/7

what is 2

200

The cube root of negative 8.

What is -2?

300

Negative cube root of 8

What is negative 2?

400

The 99th root of 188 to the nearest whole number

What is 1357?

500

16^3/4

What is 8?

Exponential Growth and Decay

100

This occurs when a quantity increases by the same factor over equal intervals.

What is exponential growth?

200

The exponential growth function if the initial amount is 150,000 and the rate of growth is 8%.

What is 204,073?

300

 This occurs when a quantity decreases by the same factor over equal intervals.

What is exponential decay?

400

A website has 500,000 members in 2020. The number y of members increased by 15% each year. About how many members will there be in 2026?

What is 1,005,679 members?

500

Simplify 100(1+0.06/12)^12t

What is 100(1.005)^12t ?

Solving Exponential Equations

100

Equations in which variable expression occurs as exponents

What is exponential equation?

200

6=6^2x-3

What is x=2?

300

10^3x=10^2x-3

What is x=3?

400

solve 5^x=125

what is x=3

500

solve 4^x+1=1/64

what is x=-4

geometric sequences

100

is the ratio  120 60 30 15

what is 1/2

200

is the common ratio of 4 12 36 108

what Is 3

300

​​​​write an equation for the missing number 2,8,32,128

what is a_n= 2(4)^n-1; 2048

400

write the next three terms of 32,8,2,1/2

what is 1/8,1/32, 1/128

500

find the common factor of 3/8,-3,24,-192

what is -8