Basic Math Examples

$18 = n e g i t i v e^{3} (m - 6)$

Step 1

Rewrite the equation as $n e g i t i v e^{3} (m - 6) = 18$ .

$n e g i t i v e^{3} (m - 6) = 18$

Step 2

Simplify.

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Step 2.1

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

$n e g t (i^{1} i) v e^{3} (m - 6) = 18$

Step 2.2

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

$n e g t (i^{1} i^{1}) v e^{3} (m - 6) = 18$

Step 2.3

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

$n e g t i^{1 + 1} v e^{3} (m - 6) = 18$

Step 2.4

Add $1$ and $1$ .

$n e g t i^{2} v e^{3} (m - 6) = 18$

Step 2.5

Multiply $e$ by $e^{3}$ by adding the exponents.

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Step 2.5.1

Move $e^{3}$ .

$n (e^{3} e) g t i^{2} v (m - 6) = 18$

Step 2.5.2

Multiply $e^{3}$ by $e$ .

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Step 2.5.2.1

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

$n (e^{3} e^{1}) g t i^{2} v (m - 6) = 18$

Step 2.5.2.2

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

$n e^{3 + 1} g t i^{2} v (m - 6) = 18$

Step 2.5.3

Add $3$ and $1$ .

$n e^{4} g t i^{2} v (m - 6) = 18$

Step 3

Divide each term in $n e^{4} g t i^{2} v (m - 6) = 18$ by $n e^{4} g t i^{2} v$ and simplify.

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Step 3.1

Divide each term in $n e^{4} g t i^{2} v (m - 6) = 18$ by $n e^{4} g t i^{2} v$ .

$\frac{n e^{4} g t i^{2} v (m - 6)}{n e^{4} g t i^{2} v} = \frac{18}{n e^{4} g t i^{2} v}$

Step 3.2

Simplify the left side.

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Step 3.2.1

Cancel the common factor of $n$ .

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Step 3.2.1.1

Cancel the common factor.

$\frac{n e^{4} g t i^{2} v (m - 6)}{n e^{4} g t i^{2} v} = \frac{18}{n e^{4} g t i^{2} v}$

Step 3.2.1.2

Rewrite the expression.

$\frac{e^{4} g t i^{2} v (m - 6)}{e^{4} g t i^{2} v} = \frac{18}{n e^{4} g t i^{2} v}$

Step 3.2.2

Cancel the common factor of $e^{4}$ .

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Step 3.2.2.1

Cancel the common factor.

$\frac{e^{4} g t i^{2} v (m - 6)}{e^{4} g t i^{2} v} = \frac{18}{n e^{4} g t i^{2} v}$

Step 3.2.2.2

Rewrite the expression.

$\frac{g t i^{2} v (m - 6)}{g t i^{2} v} = \frac{18}{n e^{4} g t i^{2} v}$

Step 3.2.3

Cancel the common factor of $g$ .

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Step 3.2.3.1

Cancel the common factor.

$\frac{g t i^{2} v (m - 6)}{g t i^{2} v} = \frac{18}{n e^{4} g t i^{2} v}$

Step 3.2.3.2

Rewrite the expression.

$\frac{t i^{2} v (m - 6)}{t i^{2} v} = \frac{18}{n e^{4} g t i^{2} v}$

Step 3.2.4

Cancel the common factor of $t$ .

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Step 3.2.4.1

Cancel the common factor.

$\frac{t i^{2} v (m - 6)}{t i^{2} v} = \frac{18}{n e^{4} g t i^{2} v}$

Step 3.2.4.2

Rewrite the expression.

$\frac{i^{2} v (m - 6)}{i^{2} v} = \frac{18}{n e^{4} g t i^{2} v}$

Step 3.2.5

Cancel the common factor of $i^{2}$ .

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Step 3.2.5.1

Cancel the common factor.

$\frac{i^{2} v (m - 6)}{i^{2} v} = \frac{18}{n e^{4} g t i^{2} v}$

Step 3.2.5.2

Rewrite the expression.

$\frac{v (m - 6)}{v} = \frac{18}{n e^{4} g t i^{2} v}$

Step 3.2.6

Cancel the common factor of $v$ .

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Step 3.2.6.1

Cancel the common factor.

$\frac{v (m - 6)}{v} = \frac{18}{n e^{4} g t i^{2} v}$

Step 3.2.6.2

Divide $m - 6$ by $1$ .

$m - 6 = \frac{18}{n e^{4} g t i^{2} v}$

Step 3.3

Simplify the right side.

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Step 3.3.1

Simplify the denominator.

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Step 3.3.1.1

Rewrite $i^{2}$ as $- 1$ .

$m - 6 = \frac{18}{n e^{4} g t \cdot - 1 v}$

Step 3.3.1.2

Factor out negative.

$m - 6 = \frac{18}{- n e^{4} g t v}$

Step 3.3.2

Move the negative in front of the fraction.

$m - 6 = - \frac{18}{n e^{4} g t v}$

Step 4

Add $6$ to both sides of the equation.

$m = - \frac{18}{n e^{4} g t v} + 6$