Basic Math Examples

$S A = 2 {(2)}^{2} + 4 (2) (4)$

Step 1

Simplify.

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Step 1.1

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

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Step 1.1.1

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

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Step 1.1.1.1

Raise $2$ to the power of $1$ .

$S A = 2^{1} \cdot 2^{2} + 4 (2) \cdot 4$

Step 1.1.1.2

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

$S A = 2^{1 + 2} + 4 (2) \cdot 4$

Step 1.1.2

Add $1$ and $2$ .

$S A = 2^{3} + 4 (2) \cdot 4$

Step 1.2

Multiply $4$ by $2$ .

$S A = 2^{3} + 8 \cdot 4$

Step 1.3

Multiply $8$ by $4$ .

$S A = 2^{3} + 32$

Step 2

Divide each term in $S A = 2^{3} + 32$ by $A$ and simplify.

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Step 2.1

Divide each term in $S A = 2^{3} + 32$ by $A$ .

$\frac{S A}{A} = \frac{2^{3}}{A} + \frac{32}{A}$

Step 2.2

Simplify the left side.

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Step 2.2.1

Cancel the common factor of $A$ .

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Step 2.2.1.1

Cancel the common factor.

$\frac{S A}{A} = \frac{2^{3}}{A} + \frac{32}{A}$

Step 2.2.1.2

Divide $S$ by $1$ .

$S = \frac{2^{3}}{A} + \frac{32}{A}$

Step 2.3

Simplify the right side.

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Step 2.3.1

Combine the numerators over the common denominator.

$S = \frac{2^{3} + 32}{A}$

Step 2.3.2

Simplify the expression.

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Step 2.3.2.1

Raise $2$ to the power of $3$ .

$S = \frac{8 + 32}{A}$

Step 2.3.2.2

Add $8$ and $32$ .

$S = \frac{40}{A}$