Basic Math Examples

$8 l^{550} m l - \frac{1}{4} l$

Step 1

Simplify each term.

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Step 1.1

Multiply $l^{550}$ by $l$ by adding the exponents.

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Step 1.1.1

Move $l$ .

$8 (l \cdot l^{550}) m - \frac{1}{4} l$

Step 1.1.2

Multiply $l$ by $l^{550}$ .

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Step 1.1.2.1

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

$8 (l^{1} l^{550}) m - \frac{1}{4} l$

Step 1.1.2.2

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

$8 l^{1 + 550} m - \frac{1}{4} l$

Step 1.1.3

Add $1$ and $550$ .

$8 l^{551} m - \frac{1}{4} l$

Step 1.2

Combine $l$ and $\frac{1}{4}$ .

$8 l^{551} m - \frac{l}{4}$

Step 2

To write $8 l^{551} m$ as a fraction with a common denominator, multiply by $\frac{4}{4}$ .

$8 l^{551} m \cdot \frac{4}{4} - \frac{l}{4}$

Step 3

Simplify terms.

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Step 3.1

Combine $8 l^{551} m$ and $\frac{4}{4}$ .

$\frac{8 l^{551} m \cdot 4}{4} - \frac{l}{4}$

Step 3.2

Combine the numerators over the common denominator.

$\frac{8 l^{551} m \cdot 4 - l}{4}$

Step 4

Simplify the numerator.

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Step 4.1

Factor $l$ out of $8 l^{551} m \cdot 4 - l$ .

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Step 4.1.1

Factor $l$ out of $8 l^{551} m \cdot 4$ .

$\frac{l (8 l^{550} m \cdot 4) - l}{4}$

Step 4.1.2

Factor $l$ out of $- l$ .

$\frac{l (8 l^{550} m \cdot 4) + l \cdot - 1}{4}$

Step 4.1.3

Factor $l$ out of $l (8 l^{550} m \cdot 4) + l \cdot - 1$ .

$\frac{l (8 l^{550} m \cdot 4 - 1)}{4}$

Step 4.2

Multiply $4$ by $8$ .

$\frac{l (32 l^{550} m - 1)}{4}$