Question

HURRY PLEASE!

Answer 1

Answer:

Option b.

$4x^3y^2\sqrt[3]{4xy}$

Step-by-step explanation:

we have the expression

$\sqrt[3]{256x^{10}y^{7}}$

Remember these properties

$\sqrt[n]{x^m} =x^{\frac{m}{n}}$

$(x^{m})^{n} =x^{m*n}$

$(x^{m})(x^{n})=x^{m+n}$

so

$\sqrt[3]{256x^{10}y^{7}}=(256x^{10}y^{7})^{\frac{1}{3}}=(256^{\frac{1}{3}})(x^{\frac{10}{3}})(y^{\frac{7}{3}})$

Rewrite the expression

$256=(4^3)(2^2)$

$x^{10}=(x^9)(x)$

$y^7=(y^6)(y)$

substitute

$(256x^{10}y^{7})^{\frac{1}{3}}=((4^3)(2^2)(x^9)(x)(y^6)(y))^{\frac{1}{3}}$

Applying properties of exponents

$((4^3)(2^2)(x^9)(x)(y^6)(y))^{\frac{1}{3}}=(4^3)^{\frac{1}{3}}(2^2)^{\frac{1}{3}}(x^9)^{\frac{1}{3}}(x)^{\frac{1}{3}}(y^6)^{\frac{1}{3}}(y)^{\frac{1}{3}}$

simplify

$(4)^{\frac{3}{3}}(2)^{\frac{2}{3}}(x)^{\frac{9}{3}}(x)^{\frac{1}{3}}(y)^{\frac{6}{3}}(y)^{\frac{1}{3}}$

$(4)(2)^{\frac{2}{3}}(x)^{3}(x)^{\frac{1}{3}}(y)^{2}(y)^{\frac{1}{3}}$

$4x^3y^2\sqrt[3]{4xy}$

Answer 2

Answer:

hello :3 your answer is B

Step-by-step explanation:

B for e2020