Example

3(r+2s)=2t-4
a⋅(b-2)=3b
3(r+2s)=2t-4
a⋅(b-2)=3b

Question

$$=\frac{35}{100}X^{40}=$$

Answer

$$X=1/35100^(1/40),-1/35100^(1/40)$$

Solution


Divide both sides by \(35100\).
\[\frac{1}{35100}={X}^{40}\]
Take the \(40\)th root of both sides.
\[\pm \sqrt[40]{\frac{1}{35100}}=X\]
Use Division Distributive Property: \({(\frac{x}{y})}^{a}=\frac{{x}^{a}}{{y}^{a}}\).
\[\pm \frac{1}{\sqrt[40]{35100}}=X\]
Switch sides.
\[X=\pm \frac{1}{\sqrt[40]{35100}}\]

Decimal Form: ±0.769781

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