Solve 3*729(1-(2/3)^7)

$$3 \times 729 ( 1 - ( \frac { 2 } { 3 } ) ^ { 7 } )$$

Evaluate

$$2059$$

Solution Steps

Multiply 3 and 729 to get 2187.

$$2187\left(1-\left(\frac{2}{3}\right)^{7}\right)$$

Calculate \frac{2}{3} to the power of 7 and get \frac{128}{2187}.

$$2187\left(1-\frac{128}{2187}\right)$$

Convert 1 to fraction \frac{2187}{2187}.

$$2187\left(\frac{2187}{2187}-\frac{128}{2187}\right)$$

Since \frac{2187}{2187} and \frac{128}{2187} have the same denominator, subtract them by subtracting their numerators.

$$2187\times \frac{2187-128}{2187}$$

Subtract 128 from 2187 to get 2059.

$$2187\times \frac{2059}{2187}$$

Cancel out 2187 and 2187.

$$2059$$

Factor

$$29\times 71$$