Finite Math Examples

$x \cdot x^{4} = 81$

Step 1

Multiply $x$ by $x^{4}$ by adding the exponents.

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Step 1.1

Multiply $x$ by $x^{4}$ .

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Step 1.1.1

Raise $x$ to the power of $1$ .

$x^{1} x^{4} = 81$

Step 1.1.2

Use the power rule $a^{m} a^{n} = a^{m + n}$ to combine exponents.

$x^{1 + 4} = 81$

Step 1.2

Add $1$ and $4$ .

$x^{5} = 81$

Step 2

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

$x \approx 2.40822468$

Step 3