Solve 4^3/16*2^7/8

$${ 4 }^{ } \frac{ 3 }{ 16 } \times { 2 }^{ } \frac{ 7 }{ 8 }$$

Evaluate

$$\frac{21}{16}=1.3125$$

Solution Steps

Calculate 4 to the power of 1 and get 4.

$$4\times \frac{3}{16}\times 2^{1}\times \frac{7}{8}$$

Express 4\times \frac{3}{16} as a single fraction.

$$\frac{4\times 3}{16}\times 2^{1}\times \frac{7}{8}$$

Multiply 4 and 3 to get 12.

$$\frac{12}{16}\times 2^{1}\times \frac{7}{8}$$

Reduce the fraction \frac{12}{16} to lowest terms by extracting and canceling out 4.

$$\frac{3}{4}\times 2^{1}\times \frac{7}{8}$$

Calculate 2 to the power of 1 and get 2.

$$\frac{3}{4}\times 2\times \frac{7}{8}$$

Express \frac{3}{4}\times 2 as a single fraction.

$$\frac{3\times 2}{4}\times \frac{7}{8}$$

Multiply 3 and 2 to get 6.

$$\frac{6}{4}\times \frac{7}{8}$$

Reduce the fraction \frac{6}{4} to lowest terms by extracting and canceling out 2.

$$\frac{3}{2}\times \frac{7}{8}$$

Multiply \frac{3}{2} times \frac{7}{8} by multiplying numerator times numerator and denominator times denominator.

$$\frac{3\times 7}{2\times 8}$$

Do the multiplications in the fraction \frac{3\times 7}{2\times 8}.

$$\frac{21}{16}$$

Factor

$$\frac{3 \cdot 7}{2 ^ {4}} = 1\frac{5}{16} = 1.3125$$