Radicals
Reduce the following radical:
sqrt(40)
2 sqrt (10)
When multiplying exponents with the same base but different exponents, what do we have to do with the exponents?
52 + 53 = 5?
Add them together! (55)
y = x4 + 3x2 - 8
4 zeros
Write the following equation in exponential form:
log4(16) = x
4x = 16
What is the name of the chorus Mr. Tribby sings in?
The Indianapolis Men's Chorus
Add the following radicals together:
6 sqrt(18) + 8 sqrt(32)
50 sqrt(2)
Simplify the following:
27^(4/3)
x = 81
What is the end behavior of the following polynomial:
-4x2 + 10x + 7
Down and Down
Write the following in logarithmic form:
3x = 81
log3(81) = x
Factor the following:
x2 + 2x - 35
Simplify the following radical:
sqrt((25x^4y)/(10xy^3)
sqrt((5x^3)/(2y^2)
Rewrite the following exponent as a radical:
(2x)3/5
root(5)(8x^3)
Write the following polynomial in standard form:
x3(x2 + x - 1) = 0
x5 + x4 - x3 = 0
Write the following in logarithmic form:
x3 = 125
logx(125) = 3
Solve the following for x:
4 - 2(5x - 3) = 2x + 1
x = -3/4
Simplify the following radical:
sqrt (-75)
5i sqrt(3)
Simplify the following:
(3m4n6)5
243m20n30
Use synthetic division to determine if (x+2) is a factor of
2x^4+4x^3+3x^2+9x+6
Yes it is! I'll do this one on the board?
Find the value of x:
log81(9) = x
x = 1/2
Expand the following logarithm:
log(a^3/b^2)
3 log (a) - 2 log (b)
Solve the following radical equation:
-2 + root(3)(x-2) = 2
x = 66
root(3)(x-2) = 4
(x-2) = 64
Rewrite the following radical as an exponent:
root(5)((xy)^4)
xy^(4/5)
log4(x + 5) = -2
x = -4.9375
A new car costs $15,000 in 2020, and increases by 10% every year. If it compounds once per year, and after 5 years how much is the new car?
A = P(1+r/n)^(rt)
$15,732.13