Simplify the Expression $$\sqrt { 45 k ^ { 7 } q ^ { 8 } }$$

question 511

Multiple Choice

Simplify the expression. Assume all variables represent positive real numbers.
- $$\sqrt { 45 k ^ { 7 } q ^ { 8 } }$$

• A) \(3 k ^ { 7 } q ^ { 8 } \sqrt { 5 k }\)
• B) \(3 k ^ { 3 } q 4 \sqrt { 5 k }\)
• C) \(3 q ^ { 4 } \sqrt { 5 \mathrm { k } ^ { 7 } }\)
• D) \(3 k ^ { 3 } q ^ { 4 } \sqrt { 5 }\)

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Definitions:

Action Potential

A momentary change in electrical potential on the surface of a cell, especially a nerve or muscle cell, that occurs when it is stimulated, leading to the transmission of an electrical impulse.

Neurotransmitters

Chemical messengers that transmit signals across a chemical synapse, from one neuron (nerve cell) to another, influencing a variety of physiological functions and behaviors.

Action Potentials

Electrical impulses that travel along the axon of a neuron, signaling the transmission of information.

Potassium Ions

Positively charged ions (K+) crucial for various biological functions, including the regulation of heartbeat and muscle functions, and critical in establishing the resting membrane potential in neurons.