Implify the expression. $$ \left(\frac{3}{r s^{5}}\right)^{5}=\square $$

Question

UpStudy AI · Accepted Answer

To simplify the expression:

$$
\left(\frac{3}{r s^{5}}\right)^{5}
$$

Apply the power to both the numerator and the denominator separately:

$$
\left(\frac{3}{r s^{5}}\right)^{5} = \frac{3^{5}}{(r s^{5})^{5}}
$$

Calculate $$3^{5}$$:

$$
3^{5} = 243
$$

And distribute the exponent in the denominator:

$$
(r s^{5})^{5} = r^{5} \cdot (s^{5})^{5} = r^{5} s^{25}
$$

Putting it all together:

$$
\frac{243}{r^{5} s^{25}}
$$

**Final Answer:**

$$
\boxed{\dfrac{243}{\,r^{5}\,s^{25}\,}}
$$
$$ \frac{243}{r^{5} s^{25}} $$

Implify the expression. \[ \left(\frac{3}{r s^{5}}\right)^{5}=\square \]