Question

If 3(x-3)=5(2x+1) then $\frac{x^{10}}{x^5}=?$

• A. $-\frac{1024}{32}$
• B. $-\frac{1025}{32}$
• C. $-\frac{1026}{32}$
• D. $-\frac{1027}{32}$

Answer 1

The correct option is A $-\frac{1024}{32}$

Given:-

$3(x-3)=5(2x+1)$

To find:- $x^{10}\times \frac{1}{x^5}=?$

$3(x-3)=5(2x+1)$

$3x-9=10x+5$

$\Rightarrow 10x-3x=-9-5$

$\Rightarrow 7x=-14$

$\Rightarrow x=-2$

Now,

$\frac{x^{10}}{x^5}=\frac{{(-2)}^{10}}{{(-2)}^5}=-\frac{1024}{32}$

Hence $\left(A\right)$ is the correct answer.