Solve 16*4-7*4/18*16:8^3

$$\frac { 16 \cdot 4 - 7 \cdot 4 } { 18 \cdot 16 : 8 ^ { 3 } }$$

Evaluate

$$64$$

Solution Steps

Multiply 16 and 4 to get 64.

$$\frac{64-7\times 4}{\frac{18\times 16}{8^{3}}}$$

Multiply 7 and 4 to get 28.

$$\frac{64-28}{\frac{18\times 16}{8^{3}}}$$

Subtract 28 from 64 to get 36.

$$\frac{36}{\frac{18\times 16}{8^{3}}}$$

Multiply 18 and 16 to get 288.

$$\frac{36}{\frac{288}{8^{3}}}$$

Calculate 8 to the power of 3 and get 512.

$$\frac{36}{\frac{288}{512}}$$

Reduce the fraction \frac{288}{512} to lowest terms by extracting and canceling out 32.

$$\frac{36}{\frac{9}{16}}$$

Divide 36 by \frac{9}{16} by multiplying 36 by the reciprocal of \frac{9}{16}.

$$36\times \frac{16}{9}$$

Express 36\times \frac{16}{9} as a single fraction.

$$\frac{36\times 16}{9}$$

Multiply 36 and 16 to get 576.

$$\frac{576}{9}$$

Divide 576 by 9 to get 64.

$$64$$

Factor

$$2^{6}$$