Solve (-2/3)^81*1.5^92*(-1)

$$( - \frac { 2 } { 3 } ) ^ { 81 } \times 1.5 ^ { 92 } \times ( - 1 )$$

Evaluate

$$86.49755859375$$

Solution Steps

Calculate -\frac{2}{3} to the power of 81 and get -\frac{2417851639229258349412352}{443426488243037769948249630619149892803}.

$$-\frac{2417851639229258349412352}{443426488243037769948249630619149892803}\times 1.5^{92}\left(-1\right)$$

Calculate 1.5 to the power of 92 and get 15863383851396906.07738204620289020999522318244198890709310124265949727695446114239530288614332675933837890625.

$$-\frac{2417851639229258349412352}{443426488243037769948249630619149892803}\times 15863383851396906.07738204620289020999522318244198890709310124265949727695446114239530288614332675933837890625\left(-1\right)$$

Convert decimal number 15863383851396906.07738204620289020999522318244198890709310124265949727695446114239530288614332675933837890625 to fraction \frac{767106172976459099931861106594634238870830478515625}{10000000000}. Reduce the fraction \frac{767106172976459099931861106594634238870830478515625}{10000000000} to lowest terms by extracting and canceling out 9765625.

$$-\frac{2417851639229258349412352}{443426488243037769948249630619149892803}\times \frac{78551672112789411833022577315290546060373041}{4951760157141521099596496896}\left(-1\right)$$

Multiply -\frac{2417851639229258349412352}{443426488243037769948249630619149892803} times \frac{78551672112789411833022577315290546060373041}{4951760157141521099596496896} by multiplying numerator times numerator and denominator times denominator.

$$\frac{-2417851639229258349412352\times 78551672112789411833022577315290546060373041}{443426488243037769948249630619149892803\times 4951760157141521099596496896}\left(-1\right)$$

Do the multiplications in the fraction \frac{-2417851639229258349412352\times 78551672112789411833022577315290546060373041}{443426488243037769948249630619149892803\times 4951760157141521099596496896}.

$$\frac{-189926289182107098954478014326352225856476838979488463952856253202432}{2195741617103057566082242280932611664629175578643682219712722239488}\left(-1\right)$$

Reduce the fraction \frac{-189926289182107098954478014326352225856476838979488463952856253202432}{2195741617103057566082242280932611664629175578643682219712722239488} to lowest terms by extracting and canceling out 1072139461476102327188594863736626789369714638009610458844102656.

$$-\frac{177147}{2048}\left(-1\right)$$

Multiply -\frac{177147}{2048} and -1 to get \frac{177147}{2048}.

$$\frac{177147}{2048}$$

Factor

$$\frac{3 ^ {11}}{2 ^ {11}} = 86\frac{1019}{2048} = 86.49755859375$$