Simplify the Following Algebraic Expression and Express Your Answer Using $\left( 5 a ^ { 2 } b ^ { 5 } \right) ^ { - 1 }$

question 113

Multiple Choice

Simplify the following algebraic expression and express your answer using positive exponents only. $\left( 5 a ^ { 2 } b ^ { 5 } \right) ^ { - 1 }$

• A) \(\frac { 5 } { a ^ { 3 } b ^ { 6 } }\)
• B) \(\frac { 6 } { a ^ { 2 } b ^ { 6 } }\)
• C) \(\frac { 1 } { 5 a ^ { 3 } b ^ { 5 } }\)
• D) \(\frac { 1 } { 5 a ^ { 2 } b ^ { 5 } }\)

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Definitions:

Gets()

A function that reads a line from stdin into the buffer pointed to by its argument until a newline character or EOF.

Character Array

A sequential collection of characters, typically used to store strings in programming languages like C and C++.

Gets()

A function in C programming used to read a string from the standard input (stdin) until a newline character is encountered.

Newline Character

A special character used in computing and text editing to represent the end of a line of text and the start of a new line.