Question

Помогите упростить выражение номер 1.13

Answer 1

$1)((a^{\pi }+b^{\pi })^{2}-(a^{\pi}-b^{\pi})^{2})^{\frac{1}{\pi}}=((a^{\pi }+b^{\pi }-a^{\pi}+b^{\pi})(a^{\pi}+b^{\pi}+a^{\pi} -b^{\pi})^{\frac{1}{\pi}}=(2b^{\pi}*2a^{\pi })^{\frac{1}{\pi}}=(4a^{\pi }b^{\pi })^{\frac{1}{\pi}}=4^{\frac{1}{\pi}}ab$

$2)\frac{a^{2\sqrt{7}}-a^{\sqrt{7}}}{a^{4\sqrt{7}}-a^{3\sqrt{7}}}=\frac{a^{\sqrt{7}}*(a^{\sqrt{7}}-1)  }{a^{3\sqrt{7}}*(a^{\sqrt{7}}-1)}=\frac{1}{a^{2\sqrt{7}}}$