Question

which is equal to(am)n​

Answer 1

To find:

The value of $(a^{m})^{n}$

Step-by-step explanation:

• Before we solve the problem, we must remember what $a^{m}$ means.

• It means that $a^{m}$ appears $n$ in a product.

• Similarly, here, in $(a^{m})^{n}$, $a^{m}$ appears $n$ times.

• From this we can say that, in $(a^{m})^{n}$, $a$ appears $m\times n$ times.

• That is, $(a^{m})^{n}=a^{m\times n}$.

• We must know that, $m\times n=mn$.

• Then $a^{m\times n}=a^{mn}$.

Final Answer:

$(a^{m})^{n}=a^{mn}$