Mathematics, 23.04.2020 03:31 Shueki
One ordered pair $(a, b)$ satisfies the two equations $ab^4 = 384$ and $a^2 b^5 = 4608$. What is the value of $a$ in this ordered pair?
Answers: 3
![\sqrt[n]{a} =a^{\frac 1n}](/tpl/images/0620/5040/b99e2.png)
![(\sqrt[n]{a} )^m=a^\frac mn](/tpl/images/0620/5040/43696.png)
.........(1)
.........(2)
......(3)
![\Rightarrow b=\sqrt[3] {32}](/tpl/images/0620/5040/6859c.png)
![\Rightarrow a(\sqrt[3]{32})^4=384](/tpl/images/0620/5040/1daf0.png)
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One ordered pair $(a, b)$ satisfies the two equations $ab^4 = 384$ and $a^2 b^5 = 4608$. What is the...
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