Question

Which of the following is a true expression?

• A.
  $2^3$ = 16
• B. $3^3$ = 81
• C.
  $4^3$ = 74
• D. $6^3$ = 216

Answer 1

The correct option is D $6^3$ = 216

The first option is:
$2^3$ = 16
Let us evaluate the value of $2^3$
$2^3$ = 2 $\times$ 2 $\times$ 2 = 8
This does not satisfy with the given value, 16, on the RHS.


The next option is:
$3^3$ = 81
Let us evaluate the value of $3^3$.
$3^3$ = 3 $\times$ 3 $\times$ 3 = 27
This does not satisfy with the given value, 81, on the RHS.


The next option is:
$4^3$ = 74
Let us evaluate the value of $4^3$.
$4^3$ = 4 $\times$ 4 $\times$ 4 $\times$ 4 = 256
This does not satisfy with the given value, 74, on the RHS.


The next option is:
$6^3$ = 216
Let us evaluate the value of $6^3$.
$6^3$ = 6 $\times$ 6 $\times$ 6 = 216
This satisfies the given value, 216, on the RHS.

Hence, the option $6^3$ = 216 is the true expression.