Question 114316
One way to begin to solve this equation is to write 8000 in scientific notation. In scientific
notation 8000 = 8 * 10^3 where "*" represents the multiplication operator.
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Set n^3 equal to this scientific notation for 8000:
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{{{n^3 = 8 * 10^3}}}
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Solve for n by taking the cube root of both sides to get:
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{{{n = root(3,8*10^3)}}}
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but {{{root(3,8*10^3) = root(3,8)*root(3,10^3)}}}
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and {{{root(3,8) = 2}}} ... and {{{root(3,10^3) = 10}}}
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so the equation for n reduces to:
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{{{n = root(3,8*10^3) = root(3,8)*root(3,10^3) = 2*10 = 20}}}
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So the answer is {{{n = 20}}}
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Hope this helps you to understand the problem and shows you a calculator-less way to get
the answer.
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