To simplify the expression \( u^{75} y^{30} \), we need to understand if there are any common factors or if it's already in its simplest form. In this case, the expression \( u^{75} y^{30} \) is already simplified, as there are no like terms to combine or factors to reduce.
Here are the options provided:
- \( uy^{45} \)
- \( u^{45} \)
- \( u^{75}y^{30} \) (the fraction with numerator \( u^{75} \) and denominator \( y^{30} \))
- \( 45 \)
The only correct response that indicates that the expression is already in its simplest form is:
\( u^{75} y^{30} \) (the fraction with numerator \( u^{75} \) and denominator \( y^{30} \))