Solve 4^15+64/4^12-1/4^9

$$\frac { 4 ^ { 15 } + 64 } { 4 ^ { 12 } } - \frac { 1 } { 4 ^ { 9 } }$$

Evaluate

$$64$$

Solution Steps

Calculate 4 to the power of 15 and get 1073741824.

$$\frac{1073741824+64}{4^{12}}-\frac{1}{4^{9}}$$

Add 1073741824 and 64 to get 1073741888.

$$\frac{1073741888}{4^{12}}-\frac{1}{4^{9}}$$

Calculate 4 to the power of 12 and get 16777216.

$$\frac{1073741888}{16777216}-\frac{1}{4^{9}}$$

Reduce the fraction \frac{1073741888}{16777216} to lowest terms by extracting and canceling out 64.

$$\frac{16777217}{262144}-\frac{1}{4^{9}}$$

Calculate 4 to the power of 9 and get 262144.

$$\frac{16777217}{262144}-\frac{1}{262144}$$

Since \frac{16777217}{262144} and \frac{1}{262144} have the same denominator, subtract them by subtracting their numerators.

$$\frac{16777217-1}{262144}$$

Subtract 1 from 16777217 to get 16777216.

$$\frac{16777216}{262144}$$

Divide 16777216 by 262144 to get 64.

$$64$$

Factor

$$2^{6}$$