Simplifying Exponents and Roots

Add the exponents of p

Break down the numerator and denominator separately

Convert the entire expression to a single fraction

Multiply the numerator by the denominator

4p^3 to the power of 3/2

4p^3 to the power of 1/2

4p^3 to the power of 2

4p^3 to the power of 1/3

4

1

2

3

9 cubed to the power of 1/3

9 to the power of 1/2

9 squared to the power of 1/3

9 to the power of 3

p^(3/2)

p^(1/3)

p^(2/3)

p^(1/2)

3 times 3 times 3

3 times 9

3 to the power of 4

3 to the power of 3

5/6

-5/6

-1/6

1/6

4

2

1

3

As a positive exponent

As a fraction

As a decimal

As a negative exponent

1.5 times p^(-5/6) times the cube root of 3

3/2 times p^(5/6) times the cube root of 3

3/2 times p^(-5/6) times the cube root of 3

1.5 times p^(5/6) times the cube root of 3