Question 107576
Given the equation:
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{{{4.7=x^(1/3)}}}
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To get rid of the exponent on the right side, you can cube the right side (that is, raise
the entire right side to the exponent 3). But if you do that you must also cube the left side.
Cubing both sides makes the equation become:
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{{{(4.7)^3 = (x^(1/3))^3}}}
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On the right side, by the power rule of exponents, you just multiply the two exponents
(that is you multiply {{{1/3}}} times {{{3}}} and the result becomes {{{(1/3)*3 = 1}}}. So the
right side becomes {{{x^1}}} and this is just {{{x}}}.
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On the left side you cube 4.7 and this is equal to 4.7 times 4.7 times 4.7 which multiplies 
out to 103.823. So the equation becomes:
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103.823 = x 
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or in more conventional form:
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x = 103.823
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The answer to the original problem is, therefore, x = 103.823. Hope this helps you to 
understand the problem and how to work it.
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