Solve [15.5]5*2^6-6*2^4+1/4*2^7

$$[ 15.5 ] 5 \times 2 ^ { 6 } - 6 \times 2 ^ { 4 } + \frac { 1 } { 4 } \times 2 ^ { 7 }$$

Evaluate

$$4896$$

Solution Steps

Multiply 15.5 and 5 to get 77.5.

$$77.5\times 2^{6}-6\times 2^{4}+\frac{1}{4}\times 2^{7}$$

Calculate 2 to the power of 6 and get 64.

$$77.5\times 64-6\times 2^{4}+\frac{1}{4}\times 2^{7}$$

Multiply 77.5 and 64 to get 4960.

$$4960-6\times 2^{4}+\frac{1}{4}\times 2^{7}$$

Calculate 2 to the power of 4 and get 16.

$$4960-6\times 16+\frac{1}{4}\times 2^{7}$$

Multiply 6 and 16 to get 96.

$$4960-96+\frac{1}{4}\times 2^{7}$$

Subtract 96 from 4960 to get 4864.

$$4864+\frac{1}{4}\times 2^{7}$$

Calculate 2 to the power of 7 and get 128.

$$4864+\frac{1}{4}\times 128$$

Multiply \frac{1}{4} and 128 to get \frac{128}{4}.

$$4864+\frac{128}{4}$$

Divide 128 by 4 to get 32.

$$4864+32$$

Add 4864 and 32 to get 4896.

$$4896$$

Factor

$$17\times 2^{5}\times 3^{2}$$