Solve 6*7^2+10div2^3

$$6 \times { 7 }^{ 2 } +10 \div { 2 }^{ 3 }$$

Evaluate

$$\frac{1181}{4}=295.25$$

Solution Steps

Calculate 7 to the power of 2 and get 49.

$$6\times 49+\frac{10}{2^{3}}$$

Multiply 6 and 49 to get 294.

$$294+\frac{10}{2^{3}}$$

Calculate 2 to the power of 3 and get 8.

$$294+\frac{10}{8}$$

Reduce the fraction \frac{10}{8} to lowest terms by extracting and canceling out 2.

$$294+\frac{5}{4}$$

Convert 294 to fraction \frac{1176}{4}.

$$\frac{1176}{4}+\frac{5}{4}$$

Since \frac{1176}{4} and \frac{5}{4} have the same denominator, add them by adding their numerators.

$$\frac{1176+5}{4}$$

Add 1176 and 5 to get 1181.

$$\frac{1181}{4}$$

Factor

$$\frac{1181}{2 ^ {2}} = 295\frac{1}{4} = 295.25$$