Perform the Indicated Operations Using the Laws of Exponents $\left( \frac { 10 ^ { 9 } \cdot 10 ^ { - 4 } } { 10 ^ { - 4 } } \right) ^ { 2 }$

question 6

Multiple Choice

Perform the indicated operations using the laws of exponents. Express the result using positive exponents. $\left( \frac { 10 ^ { 9 } \cdot 10 ^ { - 4 } } { 10 ^ { - 4 } } \right) ^ { 2 }$

• A) \(\frac { 1 } { 10 ^ { 2 } }\)
• B) \(10 ^ { 2 }\)
• C) \(10 ^ { 18 }\)
• D) \(\frac { 1 } { 10 ^ { 18 } }\)
• E) \(\frac { 1 } { 10 ^ { 6 } }\)

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Definitions:

Continuous Compounding

The process of calculating interest and reinvesting it into an account continuously, generating earnings on both the initial principal and the accumulated interest.

Retirement Fund

A financial reserve that accumulates through savings and investments, intended to support individuals financially during their retirement years.

Compounded Monthly

Interest calculation method where interest is added to the principal sum at the end of each month, and future interest is calculated on the new total.