Algebra Examples

$\frac{3}{4^{2}} + \frac{5}{2^{3}}$

Step 1

Simplify each term.

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Step 1.1

Raise $4$ to the power of $2$ .

$\frac{3}{16} + \frac{5}{2^{3}}$

Step 1.2

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

$\frac{3}{16} + \frac{5}{8}$

Step 2

To write $\frac{5}{8}$ as a fraction with a common denominator, multiply by $\frac{2}{2}$ .

$\frac{3}{16} + \frac{5}{8} \cdot \frac{2}{2}$

Step 3

Write each expression with a common denominator of $16$ , by multiplying each by an appropriate factor of $1$ .

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Step 3.1

Multiply $\frac{5}{8}$ by $\frac{2}{2}$ .

$\frac{3}{16} + \frac{5 \cdot 2}{8 \cdot 2}$

Step 3.2

Multiply $8$ by $2$ .

$\frac{3}{16} + \frac{5 \cdot 2}{16}$

Step 4

Combine the numerators over the common denominator.

$\frac{3 + 5 \cdot 2}{16}$

Step 5

Simplify the numerator.

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Step 5.1

Multiply $5$ by $2$ .

$\frac{3 + 10}{16}$

Step 5.2

Add $3$ and $10$ .

$\frac{13}{16}$

Step 6

The result can be shown in multiple forms.

Exact Form:

$\frac{13}{16}$

Decimal Form:

$0.8125$