![\bf ~~~~~~~~~~~~\textit{negative exponents}\\\\ a^{-n} \implies \cfrac{1}{a^n} \qquad \qquad \cfrac{1}{a^n}\implies a^{-n} \qquad \qquad a^n\implies \cfrac{1}{a^{-n}} \\\\\\ \textit{also recall that }a^{\frac{ n}{ m}} \implies \sqrt[ m]{a^ n} \qquad \qquad \sqrt[ m]{a^ n}\implies a^{\frac{ n}{ m}} \\\\ -------------------------------](/tpl/images/0297/0422/dc935.png)
![\bf \cfrac{(-54)^2}{\sqrt[3]{(-54)^5}}\implies \cfrac{(-54)^2}{(-54)^{\frac{5}{3}}}\implies (-54)^2(-54)^{-\frac{5}{3}}\implies (-54)^{2-\frac{5}{3}} \\\\\\ (-54)^{\frac{6-5}{3}}\implies (-54)^{\frac{1}{3}}\implies \sqrt[3]{(-54)^1}\implies \sqrt[3]{(-54)} \\\\\\ \begin{cases} 54=2\cdot 3\cdot 3\cdot 3\\ \qquad 2\cdot 3^3 \end{cases}\implies \sqrt[3]{-1\cdot 2\cdot 3^3 }\implies 3\sqrt[3]{-2}](/tpl/images/0297/0422/cb0da.png)
![\bf -5\sqrt[3]{2x+3}=15\impliedby \textit{we first raise both sides by }^3 \\\\\\ (-5\sqrt[3]{2x+3})^3=(15)^3\implies (-5)^3(\sqrt[3]{2x+3})^3=3375 \\\\\\ (-125)(2x+3)=3375\implies 2x+3=\cfrac{3375}{-125}\implies 2x+3=-27 \\\\\\ 2x=-30\implies x=-\cfrac{30}{2}\implies x=-15](/tpl/images/0297/0422/a1dfd.png)
Can someone me with this two questions ! i don't know how i can solve pls!
...
Mathematics, 07.10.2019 13:30 dnjames01
Can someone me with this two questions ! i don't know how i can solve pls!
Answers: 1
Another question on Mathematics
Mathematics, 21.06.2019 16:40
The graph of which equation includes the points (0, 10) and (10, 11)? y = 10x + 11 y = x + 10 y= 1/10x + 10 y = 1/10x + 11
Answers: 1
Mathematics, 21.06.2019 18:00
Since opening night, attendance at play a has increased steadily, while attendance at play b first rose and then fell. equations modeling the daily attendance y at each play are shown below, where x is the number of days since opening night. on what day(s) was the attendance the same at both plays? what was the attendance? play a: y = 8x + 191 play b: y = -x^2 + 26x + 126
Answers: 1
Mathematics, 21.06.2019 19:00
1. which of the following algebraic equations is equivalent to ? x^n = a a^n = x a^x = n x^a = n 2. 16^1/4= 1/2 2 4 3. (-36)^1/2= -6 1/6 no real number 4. 8^2/3= 4 8 16√2 )^5/2= 7,776 1/7,776 no real number 6. m ^ the square root of a^2m simplified is: 7. the square root of 3^3 times the square root of 2 simplified and in radical form is:
Answers: 2
Mathematics, 21.06.2019 19:50
The probability that a student graduating from suburban state university has student loans to pay off after graduation is .60. if two students are randomly selected from this university, what is the probability that neither of them has student loans to pay off after graduation?
Answers: 2
You know the right answer?
Questions
Computers and Technology, 08.07.2021 15:50
History, 08.07.2021 15:50
Computers and Technology, 08.07.2021 15:50
Social Studies, 08.07.2021 15:50
Mathematics, 08.07.2021 15:50
Mathematics, 08.07.2021 15:50
Mathematics, 08.07.2021 15:50
