Question

find the value of each of the following using the shortcut method 47 raise to the power 3​

Answer 1

Let’s take, a = 4 and b = 7

So, by using the formula,

We have, a3 + 3a2b + 3ab2 + b3

By taking the highlighted digits only,

We get;

؞(47)3 = 103823

Answer 2

Answer;103823

Solutions; 47³ = (50-3)³

it is the formof (a-b)³,where

a = 50 ,b = 3

Applying the formula

(a-b)³ = a³- b³ - 3ab(a- b)

47³ = (50-3)³

= 50³-3³-3×50×3×(50-3)

= 125000 -27- 21150

= 103823