Use the Properties of Exponents to Simplify the Expression $\frac { \left( - 5 x ^ { 5 / 3 } \right) ^ { 3 } } { x ^ { 3 / 5 } }$

question 46

Multiple Choice

Use the properties of exponents to simplify the expression. Write with positive exponents.
- $\frac { \left( - 5 x ^ { 5 / 3 } \right) ^ { 3 } } { x ^ { 3 / 5 } }$

• A) \(- 125 x ^ { 22 / 5 }\)
• B) \(- 5 x ^ { 22 / 5 }\)
• C) \(- 125 x ^ { 28 / 5 }\)
• D) \(- 5 x ^ { 28 / 5 }\)

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Definitions:

Common Binomial Factor

A binomial that is a factor of two or more polynomials.

Prime Factors

Prime factors of a number are the prime numbers that divide the given number exactly, without leaving a remainder.

Product

The result obtained by multiplying two or more quantities together.

Greatest Common Factor

The largest integer that divides two or more integers without a remainder.