Solve 7/8*frac{1}4^3*4^6

$$\frac { 7 } { 8 } \times \frac { 1 } { 4 } ^ { 3 } \times 4 ^ { 6 }$$

Evaluate

$$56$$

Solution Steps

Calculate \frac{1}{4} to the power of 3 and get \frac{1}{64}.

$$\frac{7}{8}\times \frac{1}{64}\times 4^{6}$$

Multiply \frac{7}{8} times \frac{1}{64} by multiplying numerator times numerator and denominator times denominator.

$$\frac{7\times 1}{8\times 64}\times 4^{6}$$

Do the multiplications in the fraction \frac{7\times 1}{8\times 64}.

$$\frac{7}{512}\times 4^{6}$$

Calculate 4 to the power of 6 and get 4096.

$$\frac{7}{512}\times 4096$$

Express \frac{7}{512}\times 4096 as a single fraction.

$$\frac{7\times 4096}{512}$$

Multiply 7 and 4096 to get 28672.

$$\frac{28672}{512}$$

Divide 28672 by 512 to get 56.

$$56$$

Factor

$$2^{3}\times 7$$