Question

By what number should (3/4)^-3 be divided so that the quotient is 128?​

Answer 1

Answer:

54

$\rule{300}{1}$

Step-by-step explanation:

To find the number that divides $(\frac{3}{4})^{-3}$ with a quotient 128 and remainder 0.

Let's solve $(\frac{3}{4} )^{-3}$

$(\frac{3}{4})^{-3} = (\frac{4}{3})^3\\\\\implies \frac{64}{27}$

So, now let the number that divides 64/27 with a quotient 128 and remainder 0, be x

So, we have

$\frac{64}{27} \div x = 128\\\\\implies x = 128 \times \frac{27}{64}\\\\\implies x = 2 \times 27\\\\\implies x = 54$

Hence, when (3/4)^-3 is divided by 54, the quotient is 128

$\rule{300}{1}$

Answer 2

Answer:

yes the above answer is correct pls make him brainliest...

but the real answer is 1/54