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Practice Problems

Practice Problem #1

Evaluate 5 raised to the two-thirds power squared . Write your answer in radical notation.

Use the Power of a Power Rule to simplify the exponents.

5 raised to the two-thirds power squared = 523 times two-firsts = 5 raised to the blank over blank power

Rewrite in radical notation.

5 raised to the two-thirds power squared = 523 times two-firsts = 5 raised to the four thirds power = the blank root of 5 to the blank power

Actuate 54 under the radical.

5 raised to the two-thirds power squared = 523 times two-firsts = 5 raised to the four thirds power = the cube root of 5 to the fourth power = the cube root of blank

Practice Problem #2

Simplify 3 to the fourth power raised to the exponent three-fourths end exponent

Multiply your exponents to begin simplifying.

3 to the fourth power raised to the exponent three-fourths end exponent = 341 times three-fourths =

Divide your fraction if it will divide evenly.

Determine the final answer by simplifying.

Practice Problem #3

Simplify 4 raised to the four-halves power

You might notice that you can simplify the exponent with very little work. What will this simplify to?

4 raised to the four-halves power =

If you didn't notice to simplify the exponent, that's okay. Rewrite using radical notation.

4 raised to the four-halves power=

Simplify under the radical.

=

Simplify the square root.

=