How to solve (2)^(1984)/1000

1. Factor the equation (x + 2)(x + 3) = 0. 2. Set each factor equal to zero: x + 2 = 0 and x + 3 = 0. 3. Solve for x: x = -2 and x = -3.

Solve (2)^(1984)/1000 | Equatix

Question

$${ 2 }^{ 1984 } /1000$$

Evaluate

$\frac{218988551192141442152563705668960949711288013856638946624306247105744602468942702075321099532414678558053200652883045725526260177776919428143678923829393994405994394579529342652680929466705407851083616237761471261561613967221047141928323795395786960546312325588536069505585917674299834536621406978550591814697587793320576678471335382095172994424695542336328511651433231030506149544212877830050025717386639783850472294096034583775337299651819578650552538745693382111654201094798416212387241281922589459906349993865444212967584202612747296350317527358784914351340348817487416783939295680546159460352}{125}\approx 1.75190841 \cdot 10^{594}$

Solution Steps

Calculate $2$ to the power of $1984$ and get $1751908409537131537220509645351687597690304110853111572994449976845956819751541616602568796259317428464425605223064365804210081422215355425149431390635151955247955156636234741221447435733643262808668929902091770092492911737768377135426590363166295684370498604708288556044687341394398676292971255828404734517580702346564613427770683056761383955397564338690628093211465848244049196353703022640400205739093118270803778352768276670202698397214556629204420309965547056893233608758387329699097930255380715679250799950923553703740673620901978370802540218870279314810722790539899334271514365444369275682816$.

$$\frac{1751908409537131537220509645351687597690304110853111572994449976845956819751541616602568796259317428464425605223064365804210081422215355425149431390635151955247955156636234741221447435733643262808668929902091770092492911737768377135426590363166295684370498604708288556044687341394398676292971255828404734517580702346564613427770683056761383955397564338690628093211465848244049196353703022640400205739093118270803778352768276670202698397214556629204420309965547056893233608758387329699097930255380715679250799950923553703740673620901978370802540218870279314810722790539899334271514365444369275682816}{1000}$$

Reduce the fraction $\frac{1751908409537131537220509645351687597690304110853111572994449976845956819751541616602568796259317428464425605223064365804210081422215355425149431390635151955247955156636234741221447435733643262808668929902091770092492911737768377135426590363166295684370498604708288556044687341394398676292971255828404734517580702346564613427770683056761383955397564338690628093211465848244049196353703022640400205739093118270803778352768276670202698397214556629204420309965547056893233608758387329699097930255380715679250799950923553703740673620901978370802540218870279314810722790539899334271514365444369275682816}{1000}$ to lowest terms by extracting and canceling out $8$.

$$\frac{218988551192141442152563705668960949711288013856638946624306247105744602468942702075321099532414678558053200652883045725526260177776919428143678923829393994405994394579529342652680929466705407851083616237761471261561613967221047141928323795395786960546312325588536069505585917674299834536621406978550591814697587793320576678471335382095172994424695542336328511651433231030506149544212877830050025717386639783850472294096034583775337299651819578650552538745693382111654201094798416212387241281922589459906349993865444212967584202612747296350317527358784914351340348817487416783939295680546159460352}{125}$$

Show Solution

Factor

$\frac{2 ^ {1981}}{5 ^ {3}} = ∞\frac{NaN}{125} = ∞$

Basic Math

Pre-Algebra

Algebra

Trigonometry

Calculus

Precalculus

Statistics

Finite Math

Linear Algebra

Chemistry

Example

Question

Evaluate

Solution Steps

Factor