Question

please solve it's emergency and the answer of first one is 15/8 and the second one is 1/24 I only want the step that how the answer came please solve​

Answer 1

Answer:

Step-by-step explanation:

$(\frac{1}{2} )^2$ would be the same as $\frac{1}{2} *\frac{1}{2}$ which equals $\frac{1}{4}$. $(\frac{1}{4} )^3$ would be the same as $\frac{1}{4} *\frac{1}{4} *\frac{1}{4}$ which equals $\frac{1}{64}$. To substract $\frac{1}{4}$ from $\frac{1}{64}$ you have to expand $\frac{1}{4}$ with 16 which will then become $\frac{16}{64}$. Now that the denominators are equal (64) you can easily subtract these two numbers and get the answer $\frac{15}{64}$. Now you have to multiply it with $2^3$ which equals 8 (2x2x2).

The second one (ii) can also be solved the same way. $\frac{3}{4} *\frac{3}{4} =\frac{9}{16}$. $\frac{2}{3} *\frac{2}{3} *\frac{2}{3} = \frac{8}{27}$. $\frac{1}{2} * \frac{1}{2} = \frac{1}{4}$. As you have to multiply these three numbers, the denominator does NOT have to be the same as in the first one (i). $\frac{9}{16} *\frac{8}{27} *\frac{1}{4} = \frac{9*8*1}{16*27*4}$. And that would equal: $\frac{72}{1728}$.

I hope it helps. Have a nice day! {Brainliest would help me reach next rank :)}