Perform the Indicated Operations $\left( 5 x ^ { - 5 } \right) ^ { 3 } \left( x ^ { 3 } \right) ^ { - 3 }$

question 16

Multiple Choice

Perform the indicated operations. Write the result using only positive exponents. Assume all variables represent nonzero
real numbers.
- $\left( 5 x ^ { - 5 } \right) ^ { 3 } \left( x ^ { 3 } \right) ^ { - 3 }$

• A) \(\frac { 5 ^ { 3 } } { x ^ { 2 } }\)
• B) \(\frac { 1 } { 5 ^ { - 15 } x ^ { 24 } }\)
• C) \(5 ^ { 3 } x ^ { 135 }\)
• D) \(\frac { 5 ^ { 3 } } { x ^ { 24 } }\)

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Definitions:

Connectives

Words or phrases that are used to connect words, phrases, clauses, or sentences, such as "and", "but", and "because".

Main Connective

The primary logical operator in a proposition that determines its overall truth value.

Atomic Statements

Simple statements that cannot be broken down into parts that are themselves statements, serving as the basic building blocks of more complex statements in logic.

Main Components

Fundamental parts or elements that make up a system, structure, or compound.