Trigonometry Examples

$5 x^{- \frac{2}{3}} = 80$

Step 1

Simplify $5 x^{- \frac{2}{3}}$ .

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Step 1.1

Rewrite the expression using the negative exponent rule $b^{- n} = \frac{1}{b^{n}}$ .

$5 \frac{1}{x^{\frac{2}{3}}} = 80$

Step 1.2

Combine $5$ and $\frac{1}{x^{\frac{2}{3}}}$ .

$\frac{5}{x^{\frac{2}{3}}} = 80$

Step 2

Graph each side of the equation. The solution is the x-value of the point of intersection.

$x \approx - 0.015625, 0.015625$

Step 3