Simplify Assume That All Variables Represent Positive Real Numbers $$\sqrt [ 3 ] { - 64 a ^ { 14 } b ^ { 10 } }$$

question 250

Multiple Choice

Simplify. Assume that all variables represent positive real numbers.
- $$\sqrt [ 3 ] { - 64 a ^ { 14 } b ^ { 10 } }$$

• A) \( 4 \sqrt{\mathrm{a}^{10} \mathrm{~b}^{14}} \)
• B) \( 4 a^{2} b \sqrt[3]{a^{4} b^{3}} \)
• C) \( -4 a^{4} b^{3} \sqrt[3]{a^{2} b} \)
• D) \( 4 a b \sqrt[3]{a^{4} b^{5}} \)

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Definitions:

Direct Labor Hours

The total time workers spend producing a product or providing a service, directly tied to the production process.

Contribution Margin Ratio

A financial metric that shows what percentage of sales revenue is available to cover fixed costs and generate profit after variable costs have been paid.

Variable Costs

Costs that change in proportion to the level of activity or volume of goods produced by a business.

Sales Decrease

A drop in the volume or amount of products or services sold by a company within a specific period.