Question

what is 3 to the power of 2019? How do you figure it out?

Answer 1

Answer:

Step-by-step explanation:

1120235120412

Answer 2

3²⁰¹⁹ refers to the product of 3s taken 2019 times.

Simply carry on the product of 3s 2019 times to find its value.

Step-by-step explanation:

Let us take a number a.

Here,

• a = a¹ (the product of a taken once)

• a × a = a² (the product of a's taken twice)

• a × a × a = a³ (the product of a's taken thrice)

• a × a × a × a = a⁴ (the product of a's taken four times)

• a × a × a × a × a = a⁵ (the product of a's taken five times)

• a × a × a × a × a × a = a⁶ (the product of a's taken six times)

• a × a × a × a × a × a × a = a⁷ (the product of a's taken seven times)

In this way, we can find any power of a by continued multiplication.

Thus we can say that,

3²⁰¹⁹ = 3 × 3 × 3 × 3 × ... ... (upto 2019 times)

that is, the product of 3s taken 2019 times.

NOTE:

However it will be difficult to find the exact value of 3²⁰¹⁹ using normal calculators; it will give 2.031483405 E+963.

The exact value of 3²⁰¹⁹ is given below:

2031483405154295336973313472053084709260165132781091274133600590646801546062065765597065855075575559645927206954432480413186166405878164110031288954170986733309264050445838468504498778699177789361771869614187645674280996416481296555162675387948432660577927475570146993847223780848939997643825423577469203752422288212763865648689848881642972843094612947038314258546390369577705503447563072614262142286296939162007841741637816483019030536893460148101171782562064520251485785859119437328196648101903890701482615485865832441865716248873898106659137203306018261179152584687131580181305862988250432024498124432979731217593409111662715001322758910196435262171827223977525409867024424577485948514235081918022945654217156396051056847793728422425953481621244536777888697666022911601660615917213688613387319271603000479001551126897575642846623706325654768983209005219684703673779251341850111123431449910486033100144688372851430572754366458936629186286950719322952375577741467

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