MATH SOLVE

9 months ago

Q:
# which expression is equivalent to ^5β32x^5y^10z^15a- 2y^5z^10b- 2xy^2z^3c- 6y^5z^10d- 6xy^2z^3

Accepted Solution

A:

[tex] \sqrt[5]{32x^5y^{10}z^{15}}=\sqrt[5]{32}\cdot\sqrt[5]{x^5}\cdot\sqrt[5]{(y^2)^5}\cdot\sqrt[5]{(z^3)^5}=2xy^2z^3 [/tex]Used:[tex](a^n)^m=a^{n\cdot m}\\\\\sqrt[n]{a^n}=a[/tex]Answer: b- 2xy^2z^3