Basic Math Examples

${(\frac{2}{3})}^{3} + 7^{0}$

Step 1

Simplify each term.

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Step 1.1

Apply the product rule to $\frac{2}{3}$ .

$\frac{2^{3}}{3^{3}} + 7^{0}$

Step 1.2

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

$\frac{8}{3^{3}} + 7^{0}$

Step 1.3

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

$\frac{8}{27} + 7^{0}$

Step 1.4

Anything raised to $0$ is $1$ .

$\frac{8}{27} + 1$

Step 2

Simplify the expression.

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Step 2.1

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

$\frac{8}{27} + \frac{27}{27}$

Step 2.2

Combine the numerators over the common denominator.

$\frac{8 + 27}{27}$

Step 2.3

Add $8$ and $27$ .

$\frac{35}{27}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$\frac{35}{27}$

Decimal Form:

$1.\overline{296}$

Mixed Number Form:

$1 \frac{8}{27}$