Simplify 7÷5+4^( square root of 3^2)-(-6*2)

$7 \div 5 + 4^{\sqrt{3^{2}}} - (- 6 \cdot 2)$

Step 1

Simplify each term.

Rewrite the division as a fraction.

$\frac{7}{5} + 4^{\sqrt{3^{2}}} - (- 6 \cdot 2)$

Pull terms out from under the radical, assuming positive real numbers.

$\frac{7}{5} + 4^{3} - (- 6 \cdot 2)$

Raise $4$ to the power of $3$ .

$\frac{7}{5} + 64 - (- 6 \cdot 2)$

Multiply $- (- 6 \cdot 2)$ .

Multiply $- 6$ by $2$ .

$\frac{7}{5} + 64 - - 12$

Multiply $- 1$ by $- 12$ .

$\frac{7}{5} + 64 + 12$

Step 2

Find the common denominator.

Write $64$ as a fraction with denominator $1$ .

$\frac{7}{5} + \frac{64}{1} + 12$

Multiply $\frac{64}{1}$ by $\frac{5}{5}$ .

$\frac{7}{5} + \frac{64}{1} \cdot \frac{5}{5} + 12$

Multiply $\frac{64}{1}$ by $\frac{5}{5}$ .

$\frac{7}{5} + \frac{64 \cdot 5}{5} + 12$

Write $12$ as a fraction with denominator $1$ .

$\frac{7}{5} + \frac{64 \cdot 5}{5} + \frac{12}{1}$

Multiply $\frac{12}{1}$ by $\frac{5}{5}$ .

$\frac{7}{5} + \frac{64 \cdot 5}{5} + \frac{12}{1} \cdot \frac{5}{5}$

Multiply $\frac{12}{1}$ by $\frac{5}{5}$ .

$\frac{7}{5} + \frac{64 \cdot 5}{5} + \frac{12 \cdot 5}{5}$

Step 3

Combine the numerators over the common denominator.

$\frac{7 + 64 \cdot 5 + 12 \cdot 5}{5}$

Step 4

Simplify each term.

Multiply $64$ by $5$ .

$\frac{7 + 320 + 12 \cdot 5}{5}$

Multiply $12$ by $5$ .

$\frac{7 + 320 + 60}{5}$

Step 5

Simplify by adding numbers.

Add $7$ and $320$ .

$\frac{327 + 60}{5}$

Add $327$ and $60$ .

$\frac{387}{5}$

Step 6

The result can be shown in multiple forms.

Exact Form:

$\frac{387}{5}$

Decimal Form:

$77.4$

Mixed Number Form:

$77 \frac{2}{5}$

Simplify 7÷5+4^( square root of 3^2)-(-6*2)

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