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Hotmath Practice Problems

Title:

Hotmath Algebra 2

Author:

Hotmath Team

Free

Chapter:Rational Expressions, Equations and ExponentsSection:nth Roots and Rational Exponents

Problem: 1

Rewrite the expression using rational exponent notation:

Problem: 3

Write the expression using rational exponents.

Problem: 5

Rewrite the expression using radical notation:

Problem: 7

Write the expression using radical notation.

6^1/9

Problem: 9

Rewrite in radical notation.

Cube root(s) of 5

Problem: 11

Rewrite in radical notation.

Seventh root(s) of 13

Problem: 13

Rewrite in radical notation.

Sixth root(s) of 4

Problem: 15

Evaluate:

Problem: 17

Evaluate: .

Problem: 19

Evaluate the expression without using calculator:

Problem: 21

Evaluate the expression without using calculator:

Problem: 23

Evaluate without the help of a calculator.

9^–5/2

Problem: 25

Evaluate without the help of a calculator.

–64^4/3

Problem: 27

Find the indicated real nth root(s) of a.

n = 2, a = 169

Problem: 29

Find the indicated real nth root(s) of a.

n = 3, a = –27

Problem: 31

Find the value of the given radical expression without a calculator.

Problem: 33

Simplify the given expression assuming that all variables are positive.

Problem: 35

Solve the equation and round your answer to two decimal places:

x⁷ = 128

Problem: 37

Solve the equation and round your answer to two decimal places:

x⁴ + 20 = 20

Problem: 39

Solve the equation:

Problem: 41

Solve the equation:

Problem: 43

If a cube has volume of V cm³, write the expression for the length of an edge using a rational exponent.

Problem: 1

Rewrite the expression using rational exponent notation:

Problem: 3

Write the expression using rational exponents.

Problem: 5

Rewrite the expression using radical notation:

Problem: 7

Write the expression using radical notation.

6^1/9

Problem: 9

Rewrite in radical notation.

Cube root(s) of 5

Problem: 11

Rewrite in radical notation.

Seventh root(s) of 13

Problem: 13

Rewrite in radical notation.

Sixth root(s) of 4

Problem: 15

Evaluate:

Problem: 17

Evaluate: .

Problem: 19

Evaluate the expression without using calculator:

Problem: 21

Evaluate the expression without using calculator:

Problem: 23

Evaluate without the help of a calculator.

9^–5/2

Problem: 25

Evaluate without the help of a calculator.

–64^4/3

Problem: 27

Find the indicated real nth root(s) of a.

n = 2, a = 169

Problem: 29

Find the indicated real nth root(s) of a.

n = 3, a = –27

Problem: 31

Find the value of the given radical expression without a calculator.

Problem: 33

Simplify the given expression assuming that all variables are positive.

Problem: 35

Solve the equation and round your answer to two decimal places:

x⁷ = 128

Problem: 37

Solve the equation and round your answer to two decimal places:

x⁴ + 20 = 20

Problem: 39

Solve the equation:

Problem: 41

Solve the equation:

Problem: 43

If a cube has volume of V cm³, write the expression for the length of an edge using a rational exponent.