Question

Qual o resultado de (-15a⁹b⁶)² e da raiz quadrada de 16a⁶b¹⁴, respectivamente? *

Answer 1

$(-15a^9b^6)^2\\\\=\left(15a^9b^6\right)^2\\\\=15^2\left(a^9\right)^2\left(b^6\right)^2\\\\=225\left(a^9\right)^2\left(b^6\right)^2\\\\=225a^{18}\left(b^6\right)^2\\\\225a^{18}b^{12}$

$\sqrt{16a^6b^1^4}\\\\=\sqrt{16}\sqrt{a^6}\sqrt{b^{14}}\\\\=4\sqrt{a^6}\sqrt{b^{14}}\\\\=4a^3\sqrt{b^{14}}\\\\=4a^3b^7$