Question

Choose the correct word/answer and fill in the blanks:

$2^3$ and ${\left(3\right)}^2$ are _________ (same/different)

Answer 1

By the properties of exponent, we know that -

$a^x=a\times a\times a\times .........\text{.x times}$

By using the above property -

$$\begin{gathered} 2^3=2\times 2\times 2 \\ =8 \\ {\left(3\right)}^2=3\times 3 \\ =9 \end{gathered}$$

Since, $2^3$ and ${\left(3\right)}^2$ are having different values,

therefore, the correct answer is different.