Solve 5/8*21+8^4-6

$$\frac{ 5 }{ 8 } \times 21+ { 8 }^{ 4 } -6$$

Evaluate

$$\frac{32825}{8}=4103.125$$

Solution Steps

Express \frac{5}{8}\times 21 as a single fraction.

$$\frac{5\times 21}{8}+8^{4}-6$$

Multiply 5 and 21 to get 105.

$$\frac{105}{8}+8^{4}-6$$

Calculate 8 to the power of 4 and get 4096.

$$\frac{105}{8}+4096-6$$

Convert 4096 to fraction \frac{32768}{8}.

$$\frac{105}{8}+\frac{32768}{8}-6$$

Since \frac{105}{8} and \frac{32768}{8} have the same denominator, add them by adding their numerators.

$$\frac{105+32768}{8}-6$$

Add 105 and 32768 to get 32873.

$$\frac{32873}{8}-6$$

Convert 6 to fraction \frac{48}{8}.

$$\frac{32873}{8}-\frac{48}{8}$$

Since \frac{32873}{8} and \frac{48}{8} have the same denominator, subtract them by subtracting their numerators.

$$\frac{32873-48}{8}$$

Subtract 48 from 32873 to get 32825.

$$\frac{32825}{8}$$

Factor

$$\frac{5 ^ {2} \cdot 13 \cdot 101}{2 ^ {3}} = 4103\frac{1}{8} = 4103.125$$