Solve a(1-2^6)/a(1-2^3)

$$\frac { a ( 1 - 2 ^ { 6 } ) } { a ( 1 - 2 ^ { 3 } ) }$$

Evaluate

$$9$$

Solution Steps

Cancel out a in both numerator and denominator.

$$\frac{1-2^{6}}{1-2^{3}}$$

Calculate 2 to the power of 6 and get 64.

$$\frac{1-64}{1-2^{3}}$$

Subtract 64 from 1 to get -63.

$$\frac{-63}{1-2^{3}}$$

Calculate 2 to the power of 3 and get 8.

$$\frac{-63}{1-8}$$

Subtract 8 from 1 to get -7.

$$\frac{-63}{-7}$$

Divide -63 by -7 to get 9.

$$9$$

Factor

$$3^{2}$$