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BabaBlast [244]
2 years ago
12

Please help me with Algebra 2 problems.

Mathematics
1 answer:
grandymaker [24]2 years ago
8 0

Answer:

5)\ \ \left( x^{8}y^{4}\right)^{\frac{1}{10} }  +3\left( x^{\frac{1}{5}}y^{\frac{1}{10} \right)^4=4x^{\frac{4}{5}}y^{\frac{2}{5}}

6)\ \ \frac{2\sqrt{9^{5}} +7\sqrt{9^{5}} }{\sqrt{9^{7}} }=1

Step-by-step explanation:

\left( x^{8}y^{4}\right)^{\frac{1}{10} }  +3\left( x^{\frac{1}{5}}y^{\frac{1}{10} \right)^4

=x^{\frac{8}{10}}y^{\frac{4}{10}}  +3x^{\frac{4}{5}}y^{\frac{4}{10} }

=x^{\frac{4}{5}}y^{\frac{2}{5}}  +3x^{\frac{4}{5}}y^{\frac{2}{5} }

=x^{\frac{4}{5}}y^{\frac{2}{5}}\times(1+3)

=4x^{\frac{4}{5}}y^{\frac{2}{5}}

……………………………………

\frac{2\sqrt{9^{5}} +7\sqrt{9^{5}} }{\sqrt{9^{7}} }

=\frac{(2+7) \times\sqrt{9^{5}} }{\sqrt{9^{2}} \times \sqrt{9^{5}} }

=\frac{9 \times\sqrt{9^{5}} }{9 \times \sqrt{9^{5}} }

=1

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