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In Mathematics / Middle School | 2014-11-04

Find the positive value of \(x\) that makes the equation true:

\[x^3 = 343^{-1}\]

Asked by Anonymous

Answer (2)

x 3 = 34 3 − 1 x 3 = ( 7 3 ) − 1 x 3 = 7 − 3 x 3 = ( 7 1 ​ ) 3 ⟺ x = 7 1 ​ ​

Answered by Anonymous | 2024-06-10

The positive value of x that satisfies the equation x 3 = 34 3 − 1 is x = 7 1 ​ . This result comes from rewriting 343 as 7 3 and applying the rules of exponents. The final answer is obtained by taking the cube root of both sides of the equation.
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Answered by Anonymous | 2024-12-26