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:

Probability

A mathematical measurement of the likelihood of an event occurring, expressed as a number between 0 and 1.

Level of Significance

The criterion used for rejecting the null hypothesis; often denoted by alpha.

Type II Error

The failure to reject a false null hypothesis, also known as a "false negative."

Null Hypothesis

A statement or hypothesis in statistical inference that implies no effect or no difference, and it serves as the default or starting assumption for hypothesis testing.