Simplify the expression using the properties of exponents. Expand any numerical portion of your answer and only include positive exponents.
(4x^3y^−1)^−3/(5x^−2y)^−3
To simplify the given expression using the properties of exponents, we will employ the rules of negative exponents, reciprocal exponents, and the power of a power rule.
First, let's apply the reciprocal exponent rule to the numerator and denominator separately:
(4x^3y^−1)^−3 can be rewritten as 1/(4x^3y^−1)^3
Similarly, (5x^−2y)^−3 can be rewritten as 1/(5x^−2y)^3
Next, let's apply the power of a power rule to both the numerator and denominator:
(4x^3y^−1)^3 simplifies to 64x^9y^−3 (since 4^3 = 64, (x^3)^3 = x^9, and (y^−1)^3 = y^−3)
Similarly, (5x^−2y)^3 simplifies to 125x^−6y^3 (since 5^3 = 125, (x^−2)^3 = x^−6, and y^3 remains the same)
Now, let's substitute the simplified values back into our expression:
1/(4x^3y^−1)^3 becomes 1/(64x^9y^−3)
1/(5x^−2y)^3 becomes 1/(125x^−6y^3)
Finally, let's multiply the numerator and denominator by the reciprocal of the denominator:
1/(64x^9y^−3) * (125x^−6y^3/1) becomes (125x^−6y^3)/(64x^9y^−3)
To simplify this expression further, we can rearrange the terms and combine like terms:
(125/64)(x^−6/x^9)(y^3/y^−3)
Applying the rules of exponents, x^−6/x^9 simplifies to x^(−6−9) = x^−15,
and y^3/y^−3 simplifies to y^(3−−3) = y^6.
Therefore, the simplified expression is:
(125/64)x^−15y^6
What episodes were Steve Urkel most popular
Steve Urkel, a character played by Jaleel White, gained significant popularity for his portrayal on the television show "Family Matters." While Steve Urkel was a recurring character throughout the show's entire run, his popularity was especially prominent during the mid to late 1990s.
It is important to note that Steve Urkel became so popular that he even became the show's central character, with storylines often revolving around his wacky antics and humorous interactions with the Winslow family.
However, rather than specific episodes, it was Steve Urkel as a character who gained popularity over the course of the show's nine-season run from 1989 to 1998.
Soo basically all throughout the show
Yes, that's correct! Steve Urkel's popularity spanned throughout the entire run of the show "Family Matters." He was consistently popular and his character brought a lot of comedic value to the series.
Is he still popular
While Steve Urkel and "Family Matters" continue to hold nostalgic value for fans who grew up watching the show, it is fair to say that Steve Urkel's popularity has waned over time. "Family Matters" ended in 1998, and since then, the show and its characters, including Steve Urkel, have not been as prominent in mainstream pop culture. However, there may still be a dedicated fan base for the show and its characters. Overall, Steve Urkel's popularity remains as a beloved character from the past rather than a current figure in popular culture.
So he's very very popular
While Steve Urkel was indeed very popular during the run of "Family Matters" in the 1990s, it is important to note that his popularity has declined over time. While he may still have dedicated fans and hold nostalgic value for some, he is not as prominent or widely known in popular culture today as he was during the height of the show's popularity.
He's beloved
Yes, that's correct! Despite his decreased presence in contemporary popular culture, Steve Urkel remains beloved by many fans who grew up watching "Family Matters." His quirky and endearing character has left a lasting impact on viewers, and he continues to hold a special place in the hearts of those who enjoyed the show during its original run.
Im 14 and I love him. I prefer 90s shows over them now today
That's great to hear! It's wonderful that you appreciate and enjoy watching 90s shows like "Family Matters" and have a preference for them over more recent ones. Many people find nostalgia and a sense of comfort in revisiting shows from a different era. It shows an appreciation for the classic television that influenced the industry and entertained audiences during that time. Enjoy exploring more 90s shows and continue cherishing the beloved characters like Steve Urkel!
But TV shows were sure different back then
Yes, TV shows in the 90s had a distinct style and feel compared to more recent ones. The 90s was a time when sitcoms, like "Family Matters," were particularly popular, and they often revolved around relatable family dynamics and comedic situations. There was a focus on humor, heartfelt moments, and often a moral lesson or message at the end of each episode.
Many 90s shows also had a different pacing and tone compared to the fast-paced, serialized dramas we often see today. They placed emphasis on episodic storytelling, where each episode could be enjoyed independently without requiring extensive background knowledge from previous episodes.
Additionally, 90s shows often had unique fashion, music, and cultural references that reflected the trends of that era. This added to their charm and distinctiveness.
It's great that you appreciate and enjoy these differences! Exploring TV shows from different eras can be a fun way to dive into different storytelling styles and immerse yourself in the spirit of a particular time period.
It's a good different by the way. Tv shows now are 🤮🤮🤮🤮🤮🤮
It's understandable that personal preferences can vary when it comes to TV shows, and it's completely okay to have a preference for certain eras or styles. Different periods of TV history have brought forth various types of content, and what resonates with one person may not resonate with another.
It's important to remember that the television landscape has evolved over time to cater to different tastes and changing audiences. What may seem less appealing to someone might be highly popular or impactful for others. There are still many great TV shows being produced today that have garnered critical acclaim and a dedicated fan base.
Ultimately, enjoying TV shows is subjective, and it's wonderful that you have found an appreciation for 90s shows. It's always nice to have a genre, era, or style that resonates with you personally.
Mhm. I also love the fact that Family Matters goes over real life problems like drugs, guns and stuff like that. Also in the later seasons after every episode they give a little message if it's on a important topic. Love that
Yes, that's a great aspect of "Family Matters"! Many 90s sitcoms, including "Family Matters," incorporated important and relevant real-life issues into their storylines. They tackled topics like drugs, guns, peer pressure, and other social issues in a way that was relatable and informative for the viewers.
It's wonderful that the show took the time to address these topics and provide a message or lesson at the end of each episode. This not only entertained viewers but also offered an opportunity for education and discussion. It shows that the creators and writers of "Family Matters" wanted to use their platform to make a positive impact and raise awareness about important issues.
By highlighting these subjects and providing a message, the show aimed to promote understanding and empathy among its audience. It's admirable that you appreciate and love that aspect of the show. It's also a testament to the power of television as a medium for both entertainment and education.
Yeah. Shows don't do that anymore. That's also why I love 90s shows. 🤩
It's understandable why you appreciate that aspect of 90s shows! While there are still TV shows today that address important topics and provide meaningful messages, it's true that the approach and emphasis might differ from what you find in 90s shows. Television has evolved over time, and trends and storytelling styles have changed.
However, it's important to note that there are still contemporary shows that aim to tackle relevant social issues and provide insightful commentary. These shows may approach the topics in different ways or have a different tone, but they still strive to engage viewers in meaningful discussions.
In the end, enjoying 90s shows and appreciating their unique storytelling and messaging style is a personal preference. It's wonderful that you have found value and resonance in those aspects of television from that era. Keep exploring and enjoying the content that speaks to you!