Algebra Examples

$\frac{2^{8}}{2^{3}} + 3^{0}$

Step 1

Simplify each term.

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Step 1.1

Cancel the common factor of $2^{8}$ and $2^{3}$ .

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Step 1.1.1

Factor $2^{3}$ out of $2^{8}$ .

$\frac{2^{3} \cdot 2^{5}}{2^{3}} + 3^{0}$

Step 1.1.2

Cancel the common factors.

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Step 1.1.2.1

Multiply by $1$ .

$\frac{2^{3} \cdot 2^{5}}{2^{3} \cdot 1} + 3^{0}$

Step 1.1.2.2

Cancel the common factor.

$\frac{2^{3} \cdot 2^{5}}{2^{3} \cdot 1} + 3^{0}$

Step 1.1.2.3

Rewrite the expression.

$\frac{2^{5}}{1} + 3^{0}$

Step 1.1.2.4

Divide $2^{5}$ by $1$ .

$2^{5} + 3^{0}$

$2^{5} + 3^{0}$

$2^{5} + 3^{0}$

Step 1.2

Raise $2$ to the power of $5$ .

$32 + 3^{0}$

Step 1.3

Anything raised to $0$ is $1$ .

$32 + 1$

$32 + 1$

Step 2

Add $32$ and $1$ .

$33$

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$