Question

Which of the following expressions is true?

• A. $4^3$ = 3 $\times$ 3 $\times$ 3 $\times$ 3
• B. $2^4$ = 2 $\times$ 2
• C. $3^4$ = 3 $\times$ 3 $\times$ 3 $\times$ 3
• D. $5^3$ = 3 $\times$ 3 $\times$ 3 $\times$ 3 $\times$ 3

Answer 1

The correct option is C $3^4$ = 3 $\times$ 3 $\times$ 3 $\times$ 3

The option:

$4^3$ = 3 $\times$ 3 $\times$ 3 $\times$ 3

Here, 4 is raised to the 3rd power.
$⟹$ $4^3$= 4 $\times$ 4 $\times$ 4
LHS is not equal to RHS in the given expression.
Hence, this expression is not true.


The next option is:

$2^4$ = 2 $\times$ 2
Here, 2 is raised to the 4th power.
$⟹$ $2^4$ = 2 $\times$ 2 $\times$ 2 $\times$ 2
LHS is not equal to RHS in the given expression.
Hence, this expression is not true.


The next option is:

$3^4$ = 3 $\times$ 3 $\times$ 3 $\times$ 3
In $3^4$, 3 is raised to the 4th power.
Hence, $3^4$ = 3 $\times$ 3 $\times$ 3 $\times$ 3
LHS = RHS

Hence, this expression is correct.


The next option is:

$5^3$ = 3 $\times$ 3 $\times$ 3 $\times$ 3 $\times$ 3

In $5^3$, 5 is raised to the 3rd power.
$⟹$ $5^3$ = 5 $\times$ 5 $\times$ 5
LHS is not equal to RHS in the given expression
Hence, this expression is not true.

Therefore, $3^4$ = 3 $\times$ 3 $\times$ 3 $\times$ 3 is the correct expression.