Algebra Examples

$- \frac{3 {(t)}^{2}}{- 12 t^{- 4}}$

Step 1

Move $t^{- 4}$ to the numerator using the negative exponent rule $\frac{1}{b^{- n}} = b^{n}$ .

$- \frac{3 {(t)}^{2} t^{4}}{- 12}$

Step 2

Multiply ${(t)}^{2}$ by $t^{4}$ by adding the exponents.

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Step 2.1

Move $t^{4}$ .

$- \frac{3 (t^{4} {(t)}^{2})}{- 12}$

Step 2.2

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

$- \frac{3 t^{4 + 2}}{- 12}$

Step 2.3

Add $4$ and $2$ .

$- \frac{3 t^{6}}{- 12}$

Step 3

Cancel the common factor of $3$ and $- 12$ .

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Step 3.1

Factor $3$ out of $3 t^{6}$ .

$- \frac{3 (t^{6})}{- 12}$

Step 3.2

Cancel the common factors.

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Step 3.2.1

Factor $3$ out of $- 12$ .

$- \frac{3 t^{6}}{3 \cdot - 4}$

Step 3.2.2

Cancel the common factor.

$- \frac{3 t^{6}}{3 \cdot - 4}$

Step 3.2.3

Rewrite the expression.

$- \frac{t^{6}}{- 4}$

Step 4

Move the negative in front of the fraction.

$- - \frac{t^{6}}{4}$

Step 5

Multiply $- - \frac{t^{6}}{4}$ .

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Step 5.1

Multiply $- 1$ by $- 1$ .

$1 \frac{t^{6}}{4}$

Step 5.2

Multiply $\frac{t^{6}}{4}$ by $1$ .

$\frac{t^{6}}{4}$