Finite Math Examples

$3 x^{- 3} = 7^{\frac{1}{9}}$

Step 1

Divide each term in $3 x^{- 3} = 7^{\frac{1}{9}}$ by $3$ and simplify.

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Step 1.1

Divide each term in $3 x^{- 3} = 7^{\frac{1}{9}}$ by $3$ .

$\frac{3 x^{- 3}}{3} = \frac{7^{\frac{1}{9}}}{3}$

Step 1.2

Simplify the left side.

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Step 1.2.1

Move $x^{- 3}$ to the denominator using the negative exponent rule $b^{- n} = \frac{1}{b^{n}}$ .

$\frac{3}{3 x^{3}} = \frac{7^{\frac{1}{9}}}{3}$

Step 1.2.2

Cancel the common factor of $3$ .

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Step 1.2.2.1

Cancel the common factor.

$\frac{3}{3 x^{3}} = \frac{7^{\frac{1}{9}}}{3}$

Step 1.2.2.2

Rewrite the expression.

$\frac{1}{x^{3}} = \frac{7^{\frac{1}{9}}}{3}$

Step 2

Multiply both sides of the equation by $x^{3}$ .

$1 = x^{3} (\frac{7^{\frac{1}{9}}}{3})$

Step 3

Combine $x^{3}$ and $\frac{7^{\frac{1}{9}}}{3}$ .

$1 = \frac{x^{3} \cdot 7^{\frac{1}{9}}}{3}$

Step 4

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

$x \approx 1.34196284$

Step 5

The result can be shown in multiple forms.

No solution