Question
Simplify u^75 / y^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
.(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
Answers
GPT-4o mini
To simplify the expression \(\frac{u^{75}}{y^{30}}\), we can rewrite it in a more standard format:
\[
\frac{u^{75}}{y^{30}} = u^{75} \cdot y^{-30}
\]
However, it seems you are looking for a specific format. The provided response options don’t seem to directly reflect this simplified form as a product.
Among the options given, the expression represents the variable \(u\) being raised to the 75th power while the variable \(y\) is in the denominator raised to the 30th power.
Since there are no factors that we can combine or cancel in this expression, it remains:
\[
\frac{u^{75}}{y^{30}}
\]
In comparison to the provided options, the most suitable response would be:
**Start Fraction u superscript 75 baseline over y superscript 30 baseline End Fraction**
This indicates that \(u^{75}\) is divided by \(y^{30}\).
\[
\frac{u^{75}}{y^{30}} = u^{75} \cdot y^{-30}
\]
However, it seems you are looking for a specific format. The provided response options don’t seem to directly reflect this simplified form as a product.
Among the options given, the expression represents the variable \(u\) being raised to the 75th power while the variable \(y\) is in the denominator raised to the 30th power.
Since there are no factors that we can combine or cancel in this expression, it remains:
\[
\frac{u^{75}}{y^{30}}
\]
In comparison to the provided options, the most suitable response would be:
**Start Fraction u superscript 75 baseline over y superscript 30 baseline End Fraction**
This indicates that \(u^{75}\) is divided by \(y^{30}\).