$\bf ~\hspace{7em}\textit{rational exponents} \\\\ a^{\frac{ n}{ m}} \implies \sqrt[ m]{a^ n} ~\hspace{10em} a^{-\frac{ n}{ m}} \implies \cfrac{1}{a^{\frac{ n}{ m}}} \implies \cfrac{1}{\sqrt[ m]{a^ n}} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ \left( \cfrac{27}{8} \right)^{\frac{4}{3}}\implies \left( \cfrac{3^3}{2^3} \right)^{\frac{4}{3}}\implies \left( \cfrac{3^{3\cdot \frac{4}{3}}}{2^{3\cdot \frac{4}{3}}} \right)\implies \cfrac{3^4}{2^4}\implies \cfrac{81}{16}$

7 0

3 years ago

Please if someone could help me that would be greatly appreciated.

mariarad [96]

Answer:

Step-by-step explanation:

5 0

3 years ago

the sum of two whole numbers is 158. twice the first number and four times the second number is 482.what are the two numbers.

Temka [501]

$x+y=158 \\ 2x+4y=482 \\ 2(x+y)=2(158) \\ 2x+2y=316 \\ 2y=166 \\ y=83 \\ x=75$

8 0

3 years ago

You buy 6 pounds of apples for $33. what is the cost of 10 pounds of apples?

n200080 [17]

10 lbs of apples will cost $55

This is simple. First, you would need to find the unit rate, which is 5.5
You find the unit rate by simply dividing 33 by 6. Next, after you found your unit rate, you're going to multiply that by 10. We now know that 10 x 5.5= 55. Therefore, you will need $55 for 10 lbs of apples.

I hope I helped :)

7 0

3 years ago