Evaluate (2^2)/5+(2/5)^2-(2^0)/5+(2/5)^0

$\frac{2^{2}}{5} + {(\frac{2}{5})}^{2} - \frac{2^{0}}{5} + {(\frac{2}{5})}^{0}$

Combine the numerators over the common denominator.

${(\frac{2}{5})}^{2} + {(\frac{2}{5})}^{0} + \frac{2^{2} - 2^{0}}{5}$

Simplify each term.

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

${(\frac{2}{5})}^{2} + {(\frac{2}{5})}^{0} + \frac{4 - 2^{0}}{5}$

Anything raised to $0$ is $1$ .

${(\frac{2}{5})}^{2} + {(\frac{2}{5})}^{0} + \frac{4 - 1 \cdot 1}{5}$

Multiply $- 1$ by $1$ .

${(\frac{2}{5})}^{2} + {(\frac{2}{5})}^{0} + \frac{4 - 1}{5}$

Subtract $1$ from $4$ .

${(\frac{2}{5})}^{2} + {(\frac{2}{5})}^{0} + \frac{3}{5}$

Find the common denominator.

Write ${(\frac{2}{5})}^{2}$ as a fraction with denominator $1$ .

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

Multiply $\frac{{(\frac{2}{5})}^{2}}{1}$ by $\frac{5}{5}$ .

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

Multiply $\frac{{(\frac{2}{5})}^{2}}{1}$ by $\frac{5}{5}$ .

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

Write ${(\frac{2}{5})}^{0}$ as a fraction with denominator $1$ .

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

Multiply $\frac{{(\frac{2}{5})}^{0}}{1}$ by $\frac{5}{5}$ .

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

Multiply $\frac{{(\frac{2}{5})}^{0}}{1}$ by $\frac{5}{5}$ .

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

Combine the numerators over the common denominator.

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

Simplify each term.

Apply the product rule to $\frac{2}{5}$ .

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

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

$\frac{\frac{4}{5^{2}} \cdot 5 + {(\frac{2}{5})}^{0} \cdot 5 + 3}{5}$

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

$\frac{\frac{4}{25} \cdot 5 + {(\frac{2}{5})}^{0} \cdot 5 + 3}{5}$

Cancel the common factor of $5$ .

Factor $5$ out of $25$ .

$\frac{\frac{4}{5 (5)} \cdot 5 + {(\frac{2}{5})}^{0} \cdot 5 + 3}{5}$

Cancel the common factor.

$\frac{\frac{4}{5 \cdot 5} \cdot 5 + {(\frac{2}{5})}^{0} \cdot 5 + 3}{5}$

Rewrite the expression.

$\frac{\frac{4}{5} + {(\frac{2}{5})}^{0} \cdot 5 + 3}{5}$

Apply the product rule to $\frac{2}{5}$ .

$\frac{\frac{4}{5} + \frac{2^{0}}{5^{0}} \cdot 5 + 3}{5}$

Anything raised to $0$ is $1$ .

$\frac{\frac{4}{5} + \frac{1}{5^{0}} \cdot 5 + 3}{5}$

Anything raised to $0$ is $1$ .

$\frac{\frac{4}{5} + \frac{1}{1} \cdot 5 + 3}{5}$

Cancel the common factor of $1$ .

Cancel the common factor.

$\frac{\frac{4}{5} + \frac{1}{1} \cdot 5 + 3}{5}$

Rewrite the expression.

$\frac{\frac{4}{5} + 1 \cdot 5 + 3}{5}$

Multiply $5$ by $1$ .

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

Find the common denominator.

Write $5$ as a fraction with denominator $1$ .

$\frac{\frac{4}{5} + \frac{5}{1} + 3}{5}$

Multiply $\frac{5}{1}$ by $\frac{5}{5}$ .

$\frac{\frac{4}{5} + \frac{5}{1} \cdot \frac{5}{5} + 3}{5}$

Multiply $\frac{5}{1}$ by $\frac{5}{5}$ .

$\frac{\frac{4}{5} + \frac{5 \cdot 5}{5} + 3}{5}$

Write $3$ as a fraction with denominator $1$ .

$\frac{\frac{4}{5} + \frac{5 \cdot 5}{5} + \frac{3}{1}}{5}$

Multiply $\frac{3}{1}$ by $\frac{5}{5}$ .

$\frac{\frac{4}{5} + \frac{5 \cdot 5}{5} + \frac{3}{1} \cdot \frac{5}{5}}{5}$

Multiply $\frac{3}{1}$ by $\frac{5}{5}$ .

$\frac{\frac{4}{5} + \frac{5 \cdot 5}{5} + \frac{3 \cdot 5}{5}}{5}$

Combine the numerators over the common denominator.

$\frac{\frac{4 + 5 \cdot 5 + 3 \cdot 5}{5}}{5}$

Simplify each term.

Multiply $5$ by $5$ .

$\frac{\frac{4 + 25 + 3 \cdot 5}{5}}{5}$

Multiply $3$ by $5$ .

$\frac{\frac{4 + 25 + 15}{5}}{5}$

Simplify by adding numbers.

Add $4$ and $25$ .

$\frac{\frac{29 + 15}{5}}{5}$

Add $29$ and $15$ .

$\frac{\frac{44}{5}}{5}$

Multiply the numerator by the reciprocal of the denominator.

$\frac{44}{5} \cdot \frac{1}{5}$

Multiply $\frac{44}{5} \cdot \frac{1}{5}$ .

Multiply $\frac{44}{5}$ by $\frac{1}{5}$ .

$\frac{44}{5 \cdot 5}$

Multiply $5$ by $5$ .

$\frac{44}{25}$

The result can be shown in multiple forms.

Exact Form:

$\frac{44}{25}$

Decimal Form:

$1.76$

Mixed Number Form:

$1 \frac{19}{25}$

Evaluate (2^2)/5+(2/5)^2-(2^0)/5+(2/5)^0

Related Questions

Support LCMGCF.com by disabling your adblocker.