Question

what is the answer to: evaluate 101 raised to power 3

Answer 1

Write the expression as,

101^3=(100+1)^3

Using algebraic identity,

(a+b)^3=a^3+b^3+3a^2b+3ab^2

Here, a=100 and b=1

Substitute the values,

(100+1)^3=(100)^3+1^3+3(100)^2(1)+3(100)(1)^2

(100+1)^3=1000000+1+30000+300

(100+1)^3=1030301

Therefore, (100+1)^3=1030301