Question

Fill in the blanks with $<,>$ or $=$ sign: $2^3$ ______ $3^2$

Answer 1

Evaluate the sign

According to the law of exponents, $a^m$ represents $m$ times the value of $a$

We are given $2^3$, which can be expanded as $2\times 2\times 2=8$

Also, $3^2$ can be expanded as $3\times 3=9$

As, $8$ is less than $9$

Therefore, $2^3<3^2$