What is the value of $n$ ?

Algebra Level 1

If $5(1^n)+n^3=734$ , what is the value of $n$ ?

2 solutions

Ram Mohith
May 4, 2018

We know that $1 \text{ power any number is equal to } 1$

$\implies 1^n = 1$

Now, $5(1^n) + n^3 = 734 \implies 5 + n^3 = 734$

$\implies n^3 = 729$

$\implies n = 9$

What if $1^{\infty}$ ? It's not true that anything to the power of 1is always 1.

Naren Bhandari - 3 years, 1 month ago

Ram Mohith said that 1 to the power of any NUMBER equals 1. Do YOU think that INFINITY is a NUMBER!

Mohammad Farhat - 2 years, 9 months ago

Yes you are right infinity is not a number

Ram Mohith - 2 years, 9 months ago

Rishabh Jain
Mar 12, 2019

As we know 1 raise to the power any finite number makes it 1 and hence n^3 =734-(5×1) =729 which is the perfect cube of 9