Simplifying Radicals
Radical Form to Exponential Form
Exponential Form to Radical Form
Simplify
Negative Exponents
100

Simplify the following radical expression

sqrt(98)

7sqrt2

100

Convert the following expression from Radical Form to Exponential Form

root5(n^4)

n^(4/5)

100

Convert the following expression from Rational Exponents to Simplest Radical Form

x^(2/5)

root(5)(x^2)

(root(5)x)^2

100

Simplify (-3y1/3)(-2y1/2) completely.

What is 6 6 root y to the 5th power?

100

Simplify -4y over 2y to the power of 2/3

What is -2 3 root y to the power of 2?

200

Simplify the following radical expression

5sqrt(112)

20sqrt7

200

Convert the following expression from Radical Form to Exponential Form

root3(27m^2n^6)

3m^(2/3)n^2

200

Convert the following expression from Rational Exponents to Simplest Radical Form

7x^(2/3)

7root(3)x^2

7(root(3)x)^2

200

Simplify (10xy)2 over 20x2y completely.

What is 5y?

200

The radical form of 8 to the -1/3 power.

What is -3 root 8?

300

Simplify the following radical expression

sqrt(192xy^11z^6)

8y^5z^3sqrt(3xy)

300

Convert the following expression from Radical Form to Exponential Form

root4((5ab)^3)

5^(3/4)a^(3/4)b^(3/4)

OR

125^(1/4)a^(3/4)b^(3/4)

300

Convert the following expression from Rational Exponents to Simplest Radical Form

x^(17/2)

x^8sqrtx

300

Simplify 12n8*5n5 over 4n11.

What is 15n2?

300

The radical form of 7 to the -4/5 power

What is -5 root 7 to the 4th power?

400

Simplify the following radical expression

4root3(125x^9y^7)

20x^3y^2root3(y)

400

Convert the following expression from Radical Form to Exponential Form

root4(5ab^3)

5^(1/4)a^(1/4)b^(3/4)

400

Convert the following expression from Rational Exponents to Simplest Radical Form

(4x)^(5/2)

32x^2sqrtx

400

Simplify 15m5n5*3n2 over 5mn.

What is 9m4n6?

400

The exponential form of -8 to the -6/7 power

What is -7 root -8 to the 6th power?

500

Simplify the following radical expression

root5(288x^3y^7)

2yroot5(9x^3y^2)

500

Convert the following expression from Radical Form to Exponential Form and simplify

root4(32a^2b^14)

2^(5/4)a^(1/2)b^(7/2)

500

Convert the following expression from Rational Exponents to Simplest Radical Form

(12^3x)^(1/2)

24sqrt3x

500

Simplify 15j5k2*25j2kover (5jk)completely.

What is 3j4k8?

500

The exponential form of 9 to the -5/36 power

What is -36 root 9 to the 5th power?

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