Solve 3^4-2^4:8.4

$$3 ^ { 4 } - 2 ^ { 4 } : 8.4$$

Evaluate

$$\frac{1661}{21}\approx 79.095238095$$

Solution Steps

Calculate 3 to the power of 4 and get 81.

$$81-\frac{2^{4}}{8.4}$$

Calculate 2 to the power of 4 and get 16.

$$81-\frac{16}{8.4}$$

Expand \frac{16}{8.4} by multiplying both numerator and the denominator by 10.

$$81-\frac{160}{84}$$

Reduce the fraction \frac{160}{84} to lowest terms by extracting and canceling out 4.

$$81-\frac{40}{21}$$

Convert 81 to fraction \frac{1701}{21}.

$$\frac{1701}{21}-\frac{40}{21}$$

Since \frac{1701}{21} and \frac{40}{21} have the same denominator, subtract them by subtracting their numerators.

$$\frac{1701-40}{21}$$

Subtract 40 from 1701 to get 1661.

$$\frac{1661}{21}$$

Factor

$$\frac{11 \cdot 151}{3 \cdot 7} = 79\frac{2}{21} = 79.0952380952381$$