Question

HELP ASAP!!!! Simplify. 4√16x^4y^12 Assume all variables are nonnegative.

Answer 1

Answer:

The given Expression is

$4\sqrt{16x^4y^12$

= 4 × terms under square root are non negative.so we can break it into different terms.

= 4 × √16 ×$\sqrt{x^4}\times\sqrt {y^{12}}$

Breaking into factors

= 4 × $\sqrt{2\times2\times\times2\times2 } \times\sqrt{x \times x \times x \times x } \times \sqrt{ y \times y \timesy \times y \timesy \times y \times y \times y \times y \times y \times y \times y \times y \times y$

= 4× $2 \times2 \times x \times x \times y\times y\times y\times y\times y\times y$

= 16× $x^{1+1}\times y^{1+1+1+1+1+1}$

= 16 $x^2 y^6$