A technician at a bauxite processing plant in Jamaica calculates the volume of aluminium ore using the formula V = L³. If L = 2⁻², what is the value of V?

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Question

A technician at a bauxite processing plant in Jamaica calculates the volume of aluminium ore using the formula V = L³. If L = 2⁻², what is the value of V?

Accepted Answer

1/64 — Award 1 mark for correct calculation. V = (2⁻²)³ = 2⁻⁶ = 1/2⁶ = 1/64. B is incorrect because it calculates only 2⁻³. C confuses negative exponent with positive exponent. D incorrectly calculates 2⁶ without the negative sign.

Answer

1/8

Answer

1/64

Answer

64

Answer

8

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