Question

Simplify u superscript 75 /y superscript 30
.(1 point)
Responses

uy45
u y superscript 45 baseline

u45
u superscript 45 baseline

u75y30
Start Fraction u superscript 75 baseline over y superscript 30 baseline End Fraction

45

Answer 1

To simplify \( \frac{u^{75}}{y^{30}} \), we need to express it in a more straightforward form.

In this case, \( \frac{u^{75}}{y^{30}} \) is already in its simplest form, but it can also be rewritten for clarity. However, if you must choose one of the given responses, here is the analysis:

- **uy45**: This would imply a multiplication of u and y with an exponent of 45, which is not correct.
- **u y superscript 45 baseline**: Again, this suggests a multiplication involving u and y, which doesn’t apply to the given expression.
- **u75y30**: This retains the original expression in a more compact form, but it doesn't simplify it.
- **Start Fraction u superscript 75 baseline over y superscript 30 baseline End Fraction**: This is identical to the original expression and doesn’t imply any change.

None of the responses strictly simplifies the expression correctly. However, if your intention was to represent it as it is, then:

**Start Fraction u superscript 75 baseline over y superscript 30 baseline End Fraction** would be the correct choice, as it reflects the expression accurately.

If the question allows, the simplified representation could just remain as \( \frac{u^{75}}{y^{30}} \) in fraction form, but based on your options, it's best to choose the last one.