Solve 3(10-(27div9)]/4^-7=

$$\frac { 3 ( 10 - ( 27 \div 9 ) ] } { 4 ^ { - 7 } } =$$

Evaluate

$$344064$$

Solution Steps

Divide 27 by 9 to get 3.

$$\frac{3\left(10-3\right)}{4^{-7}}$$

Subtract 3 from 10 to get 7.

$$\frac{3\times 7}{4^{-7}}$$

Multiply 3 and 7 to get 21.

$$\frac{21}{4^{-7}}$$

Calculate 4 to the power of -7 and get \frac{1}{16384}.

$$\frac{21}{\frac{1}{16384}}$$

Divide 21 by \frac{1}{16384} by multiplying 21 by the reciprocal of \frac{1}{16384}.

$$21\times 16384$$

Multiply 21 and 16384 to get 344064.

$$344064$$

Factor

$$2^{14}\times 3\times 7$$