Question

Simplify the cube root in simplest radical form.

−64x5y7z3

Answer 1

Answer:

Simplest radical form is $-4xy^2z \sqrt[3]{x^2y}$

Step-by-step explanation:

We are given $\sqrt[3]{-64x^5y^7z^3}$

Simplify the cube root radical

First we split each exponent as multiple of 3

$-64=(-4)^3$

$x^5=x^3\cdot x^2$

$y^7=y^6\cdot y$

$z^3=z^3$

Re-write the radical expression

$\Rightarrow \sqrt[3]{(-4)^3\cdot x^3\cdot x^2\cdot y^6\cdot y\cdot z^3}$

Now we take cube term outside the radical 3

$\sqrt[3]{a^3}=a$

$\Rightarrow -4\cdot x\cdot y^2 \cdot z \sqrt[3]{x^2\cdot y}$

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

Thus, Simplest radical form is $-4xy^2z \sqrt[3]{x^2y}$

Answer 2

Answer:

the answer is

Step-by-step explanation:

$-4y2z \sqrt[3]{x2y}$

hope this helped pls mark brainliest