Question

Simplify:

`\sqrt{0.49x^(18)` where x < 0

Answer 1

-0.7x⁹

Explanation:

sqrt(0.49x¹⁸)

sqrt(0.49) × sqrt(x¹⁸)

0.7 × -x⁹

-0.7x⁹

Since x is negative, -x⁹ is positive

Answer 2

Explanation:

`\sqrt{0.49x^(18)}=\sqrt{(49)/(100)x^(9*2)} \\\\ =\sqrt{((7)/(10))^(2)*(x^9)^(2)}\\\\ =(7)/(10)*x^(9)\\\\=0.7x^(9)`