Finite Math Examples

$x {(2 x)}^{2} = 0.00000003$

Step 1

Simplify $x {(2 x)}^{2}$ .

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Step 1.1

Apply the product rule to $2 x$ .

$x (2^{2} x^{2}) = 0.00000003$

Step 1.2

Rewrite using the commutative property of multiplication.

$2^{2} x \cdot x^{2} = 0.00000003$

Step 1.3

Multiply $x$ by $x^{2}$ by adding the exponents.

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Step 1.3.1

Move $x^{2}$ .

$2^{2} (x^{2} x) = 0.00000003$

Step 1.3.2

Multiply $x^{2}$ by $x$ .

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Step 1.3.2.1

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

$2^{2} (x^{2} x^{1}) = 0.00000003$

Step 1.3.2.2

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

$2^{2} x^{2 + 1} = 0.00000003$

Step 1.3.3

Add $2$ and $1$ .

$2^{2} x^{3} = 0.00000003$

Step 1.4

Raise $2$ to the power of $2$ .

$4 x^{3} = 0.00000003$

Step 2

Divide each term in $4 x^{3} = 0.00000003$ by $4$ and simplify.

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Step 2.1

Divide each term in $4 x^{3} = 0.00000003$ by $4$ .

$\frac{4 x^{3}}{4} = \frac{0.00000003}{4}$

Step 2.2

Simplify the left side.

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Step 2.2.1

Cancel the common factor of $4$ .

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Step 2.2.1.1

Cancel the common factor.

$\frac{4 x^{3}}{4} = \frac{0.00000003}{4}$

Step 2.2.1.2

Divide $x^{3}$ by $1$ .

$x^{3} = \frac{0.00000003}{4}$

Step 2.3

Simplify the right side.

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Step 2.3.1

Divide $0.00000003$ by $4$ .

$x^{3} = 0$

Step 3

Take the specified root of both sides of the equation to eliminate the exponent on the left side.

$x = \sqrt[3]{0}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$x = \sqrt[3]{0}$

Decimal Form:

$x = 0.00213632 \dots$