Write as a Rational Exponent
Write in Radical Form
Simplify the Radical
Word Problems
100

sqrtx

What is 

x^(1/2)?

100

x^(1/3)

What is 

root(3)(x)?

100

root(4)(80)

What is 

2root(4)(5)?

100

The Martinez twins started with $300 and earns 5% of interest. Assuming the interest earned is a continuous relationship, how much will they have at 2 months?


What is $302.45?

300*(1.05)^(2/12)

200

root(3)(n^5

What is 

n^(5/3)?

200

n^(4/5)

What is 

root(5)(n^4)?

200

sqrt(24x^5)

What is 

2x^2sqrt(6x)?

200

The Martinez twins started with $300 and earns 5% of interest. Assuming the interest earned is a continuous relationship, how much will they have at 3 years and 5 months?

What is 354.42?

300(1.05)^(3 5/12)

300

root(4)(x^3y^7)

What is 

x^(3/4)y^(7/4)

300

x^(2/5)y^(7/5)

What is 

root(5)(x^2y^7)?

300

root(3)(54x^5)

What is 

3xroot(3)(2x^2)?

300

Suppose a dose of 60 milligrams of anti-parasite medicine is given to a dog and the medicine breaks down such that 20% of the medicine becomes ineffective every hour. How much of the dose remains after 45 minutes? Round to the nearest milligram.

What is 51 mg?

60*(0.8)^(45/60)

400

sqrt(x^7y^9z^11)

What is 

x^(7/2)y^(9/2)z^(11/2)?

400

x^(4/3)y^(8/3)z^(1/3)

What is 

root(3)(x^4y^8z)?

400

sqrt(216x^4y^5z^7

What is 

6x^2y^2z^3sqrt(6yz)?

400

Suppose a dose of 60 milligrams of anti-parasite medicine is given to a dog and the medicine breaks down such that 20% of the medicine becomes ineffective every hour. How much of the dose remains after 1 hour and 15 minutes? Round to the nearest milligram.

What is 45mg?

60*(0.8)^(1 15/60)

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