Use the Laws of Exponents to Simplify Each Expression Using $$\left( - 3 x ^ { 4 } \right) \left( 6 x ^ { 5 } \right)$$

question 268

Multiple Choice

Use the laws of exponents to simplify each expression using positive exponents only. Assume all variables represent nonzero real numbers.
- $$\left( - 3 x ^ { 4 } \right) \left( 6 x ^ { 5 } \right)$$

• A) \(- 18 x ^ { 20 }\)
• B) \(18 x ^ { 20 }\)
• C) \(- 18 x ^ { 9 }\)
• D) \(18 x ^ { 9 }\)

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Definitions:

Numerator

The top number of a fraction, showing the number of parts out of the denominator considered.

Chi-square Distribution

A probability distribution that is used to describe the distribution of a sum of the squares of k independent standard normal random variables, often used in hypothesis testing.

Standard Deviation

A measure of the amount of variation or dispersion in a set of values, indicating how much the values differ from the mean.

Sample Variance

A statistical measure of the dispersion or variance within a sample data set.