Use the Power Rule to create a simplified equivalent expression for (19^4)^9

Question

. Your answer should contain one exponent.(1 point)
(19^4)^9=

Answer 1

To simplify $({19}^4{)}^9$ using the Power Rule, which states that $(a^m{)}^n=a^{m\cdot n}$, you can multiply the exponents:

$$({19}^4{)}^9={19}^{4\cdot 9}$$

Now, calculate $4\cdot 9$:

$$4\cdot 9=36$$

So, the simplified expression is:

$$({19}^4{)}^9={19}^{36}$$

Thus, the final answer is:

$$\boxed{{\displaystyle {19}^{36}}}$$