Mathematics, 13.07.2019 22:30 cordovatierra16
Match each expression to its equivalent expression with a rational denominator.
Answers: 1
![\dfrac{1}{\sqrt[4]{3x^3y^5}}\cdot\dfrac{\sqrt[4]{3^3xy^3}}{\sqrt[4]{3^3xy^3}}=\dfrac{\sqrt[4]{3^3xy^3}}{\sqrt[4]{3^4x^4y^8}}=\dfrac{\sqrt[4]{3^3xy^3}}{{\sqrt[4]{3^4x^4(y^2)^4}}}=\dfrac{\sqrt[4]{3^3xy^3}}{3xy^2}](/tpl/images/0086/4006/c9a90.png)
![\dfrac{3}{\sqrt[4]{27x^{11}y^{13}}}=\dfrac{3}{\sqrt[4]{3^3x^{11}y^{13}}}=\dfrac{3}{\sqrt[4]{27x^{11}y^{13}}}\cdot\dfrac{\sqrt[4]{3xy^3}}{\sqrt[4]{3xy^3}}=\dfrac{3\sqrt[4]{3xy^3}}{\sqrt[4]{3^4x^{12}y^{16}}}\\\\=\dfrac{3\sqrt[4]{3xy^3}}{\sqrt[4]{3^4(x^3)^4(y^4)^4}}=\dfrac{3\sqrt[4]{3xy^3}}{3x^3y^4}=\dfrac{\sqrt[4]{3xy^3}}{x^3y^4}](/tpl/images/0086/4006/1957a.png)
![\dfrac{2}{\sqrt[6]{2x^7y^5}}=\dfrac{2}{\sqrt[6]{2x^7y^5}}\cdot\dfrac{\sqrt[6]{2^5x^5y}}{\sqrt[6]{2^5x^5y}}=\dfrac{2\sqrt[6]{2^5x^5y}}{\sqrt[6]{2^6x^{12}y^6}}=\dfrac{2\sqrt[6]{2^5x^5y}}{\sqrt[6]{2^6(x^2)^6y^6}}\\\\=\dfrac{2\sqrt[6]{2^5x^5y}}{2x^2y}=\dfrac{\sqrt[6]{32x^5y}}{x^2y}](/tpl/images/0086/4006/58f49.png)
![\dfrac{4}{\sqrt[6]{32x^5y^9}}=\dfrac{4}{\sqrt[6]{2^5x^5y^9}}\cdot\dfrac{\sqrt[6]{2xy^3}}{\sqrt[6]{2xy^3}}=\dfrac{4\sqrt[6]{2xy^3}}{\sqrt[6]{2^6x^6y^{12}}}=\dfrac{4\sqrt[6]{2xy^3}}{\sqrt[6]{2^6x^6(y^2)^6}}\\\\=\dfrac{4\sqrt[6]{2xy^3}}{2xy^2}=\dfrac{2\sqrt[6]{2xy^3}}{xy^2}}](/tpl/images/0086/4006/46bb1.png)
![\text{Used:}\\\\\sqrt[n]{a^n}=a\\\\(a^n)^m=a^{n\cdot m}\\\\a^n\cdot a^m=a^{n+m}\\\\\sqrt[n]{a\cdot b}=\sqrt[n]a\cdot\sqrt[n]b](/tpl/images/0086/4006/d7f25.png)
Another question on Mathematics
Mathematics, 21.06.2019 12:30
Will give brainliest! aubrey was offered a job that paid a salary of $45,000 in its first year. the salary was set to increase by 2% per year every year. if aubrey worked at the job for 20 years, what was the total amount of money earned over the 20 years, to the nearest whole number?
Answers: 1
Mathematics, 21.06.2019 23:00
What ia the sum if the first 7 terms of the geometric series
Answers: 2
Mathematics, 22.06.2019 03:00
Which aspect of electronic commerce does the ftc regulate? a. encryption and transfer of data b. disposing of credit reports c. network security d. antivirus software updates
Answers: 1
Mathematics, 22.06.2019 03:00
Alocal restaurant advertises that the mode cost of their most popular meals is $8. if the costs of their most popular meals are $7, $8, $8, $12, $13, $15, $17, $18, and $20, which word or phrase best describes this kind of advertising? accurate inaccurate accurate, but misleading inaccurate and misleading
Answers: 1
You know the right answer?
Match each expression to its equivalent expression with a rational denominator....
Questions
Geography, 28.01.2020 10:31
Mathematics, 28.01.2020 10:31
Mathematics, 28.01.2020 10:31
Social Studies, 28.01.2020 10:31
Mathematics, 28.01.2020 10:31
Computers and Technology, 28.01.2020 10:31
Mathematics, 28.01.2020 10:31
History, 28.01.2020 10:31
Mathematics, 28.01.2020 10:31
History, 28.01.2020 10:31
