Simplify the Expression $$\left( 2 a ^ { 6 } b ^ { 8 } \right) \left( - 4 a ^ { 7 } b ^ { 4 } \right)$$

question 10

Multiple Choice

Simplify the expression. Assume all variables represent nonzero real numbers.
- $$\left( 2 a ^ { 6 } b ^ { 8 } \right) \left( - 4 a ^ { 7 } b ^ { 4 } \right)$$

• A) \(8 \ a ^{13}b^{13}\)
• B) \(- 8 a ^ { 42 } b ^ { 8 }\)
• C) \(8 a ^ { 41 } b ^ { 8 }\)
• D) \(- 8 \mathrm { a } ^ { 13 } \mathrm {~b} ^ { 12 }\)

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Definitions:

Debt-Equity Ratio

A measure of a company's financial leverage, calculated by dividing its total liabilities by shareholders' equity.

Times Interest Earned

A ratio that measures a company's ability to meet its debt obligations by comparing its income before interest and taxes to its total interest expenses.

Debt to Equity

A financial metric showing the comparative amount of debt and shareholders' equity utilized to fund a company's assets.

Price/Earnings

A valuation ratio of a company's current share price compared to its per-share earnings, used to assess if a stock is over or undervalued.