%5E2%2Bx%3D729.jpeg "(1/9)^2+x=729")
Solving for x in the Equation (1/9)^2 + x = 729
This article will guide you through the steps of solving for x in the equation (1/9)^2 + x = 729.
Understanding the Equation
The equation (1/9)^2 + x = 729 is a simple algebraic equation involving a fractional exponent and a variable, x. Our goal is to isolate x to find its value.
Solving for x
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Simplify the Fractional Exponent: (1/9)^2 = (1/9) * (1/9) = 1/81
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Substitute and Rearrange: The equation now becomes: 1/81 + x = 729 Subtract 1/81 from both sides: x = 729 - 1/81
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Calculate the Difference: 729 - 1/81 = 59048/81 - 1/81 = 59047/81
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The Solution: Therefore, x = 59047/81
Conclusion
By following the steps outlined above, we have successfully solved for x in the equation (1/9)^2 + x = 729. The solution is x = 59047/81. This process involves simplifying the fractional exponent, rearranging the equation, and performing basic arithmetic operations.