Question

Упростите выражения:

а) $(3xy^{3})^{4} * ( -frac{1}{27} xy^{2} )$

б) $-(-a^{3}b^{2})^{3} * (-0.6ab^{2})^{2}$

Answer 1

$a) (3xy^3)^4*(-frac{1}{27}xy^2)=-3^4x^4y^{12}*frac{1}{27}xy</var>^2=-frac{81}{27}x^5y^{14}=-3x^5y^{14};$<br /><br /><img src=[/tex]b) -(-a^3b^2)^3*(-0.6ab^2)^2=-((-a^3)^3*b^6)*(-0.6)^2a^2b^4=\\=a^9b^6*0.36a^2b^4=0.36a^{11}b^{10}." title="a) (3xy^3)^4*(-frac{1}{27}xy^2)=-3^4x^4y^{12}*frac{1}{27}xy^2=-frac{81}{27}x^5y^{14}=-3x^5y^{14};" title="b) -(-a^3b^2)^3*(-0.6ab^2)^2=-((-a^3)^3*b^6)*(-0.6)^2a^2b^4=\\=a^9b^6*0.36a^2b^4=0.36a^{11}b^{10}." title="a) (3xy^3)^4*(-frac{1}{27}xy^2)=-3^4x^4y^{12}*frac{1}{27}xy^2=-frac{81}{27}x^5y^{14}=-3x^5y^{14};" alt="b) -(-a^3b^2)^3*(-0.6ab^2)^2=-((-a^3)^3*b^6)*(-0.6)^2a^2b^4=\\=a^9b^6*0.36a^2b^4=0.36a^{11}b^{10}." title="a) (3xy^3)^4*(-frac{1}{27}xy^2)=-3^4x^4y^{12}*frac{1}{27}xy^2=-frac{81}{27}x^5y^{14}=-3x^5y^{14};" />

$a) (3xy^3)^4*(-frac{1}{27}xy^2)=-3^4x^4y^{12}*frac{1}{27}xy</var>^2=-frac{81}{27}x^5y^{14}=-3x^5y^{14};$

[tex]b) -(-a^3b^2)^3*(-0.6ab^2)^2=-((-a^3)^3*b^6)*(-0.6)^2a^2b^4=\\=a^9b^6*0.36a^2b^4=0.36a^{11}b^{10}." />