Question

Compute the following:
(i) $(-4{)}^3\times (-10{)}^3\times (-1{)}^{789}$ (ii) $(50{)}^2$

Answer 1

(i) $(-4{)}^3\times (-10{)}^3\times (-1{)}^{789}$

$=(-1{)}^3\times (4{)}^3\times (-1{)}^3\times (10{)}^3\times (-1{)}^{2\times 394+1}$

$=(-1)\times 64\times (-1)\times 1000\times \left[\right(-1{)}^2{]}^{394}\times (-1)$

$=(-64)\times (-1000)\times (-1)$

$=-64000$

$\therefore$Answer: $64000$

(ii) $(50{)}^2$

$=(5\times 10{)}^2$

$=5^2\times {10}^2$

$=25\times 100$

$=2500$

$\therefore (50{)}^2=2500$.