Solve 93^8+77^3/170-93*77

$$\frac { 93 ^ { 8 } + 77 ^ { 3 } } { 170 } - 93 \cdot 77$$

Evaluate

$$\frac{2797909047944782}{85}\approx 3.291657703 \cdot 10^{13}$$

Solution Steps

Calculate 93 to the power of 8 and get 5595818096650401.

$$\frac{5595818096650401+77^{3}}{170}-93\times 77$$

Calculate 77 to the power of 3 and get 456533.

$$\frac{5595818096650401+456533}{170}-93\times 77$$

Add 5595818096650401 and 456533 to get 5595818097106934.

$$\frac{5595818097106934}{170}-93\times 77$$

Reduce the fraction \frac{5595818097106934}{170} to lowest terms by extracting and canceling out 2.

$$\frac{2797909048553467}{85}-93\times 77$$

Multiply 93 and 77 to get 7161.

$$\frac{2797909048553467}{85}-7161$$

Convert 7161 to fraction \frac{608685}{85}.

$$\frac{2797909048553467}{85}-\frac{608685}{85}$$

Since \frac{2797909048553467}{85} and \frac{608685}{85} have the same denominator, subtract them by subtracting their numerators.

$$\frac{2797909048553467-608685}{85}$$

Subtract 608685 from 2797909048553467 to get 2797909047944782.

$$\frac{2797909047944782}{85}$$

Factor

$$\frac{2 \cdot 47 \cdot 29764989871753}{5 \cdot 17} = 32916577034644\frac{42}{85} = 32916577034644.492$$