Question

Fill in the blanks with $<,>$ or $=$ sign: $6^3$ _____ $4^4$

Answer 1

Evaluate:

According to the law of exponents, $a^m$ can be represented as $m$ times the value of $a$

We are given $6^3$, which can be expanded as $6\times 6\times 6=216$

and, $4^4$ can be expanded as $4\times 4\times 4\times 4=256$

As, $216$ is less than $256$.

Therefore, $6^3$$<$$4^4$