Question

Simplify the expression

Answer 1

Answer:

$\frac{8x^{10}z}{y^{4}}$

Step-by-step explanation:

The expression $\frac{(2x^{3}z^{2})^{3}}{x^{3} y^{4}z^{2}.x^{-4}z^{3}}$

Using laws of exponents

The law that

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

Solving in the denominator

$\frac{(2x^{3}z^{2})^{3}}{x^{3} y^{4}z^{2}.x^{-4}z^{3}}=\frac{(2x^{3}z^{2})^{3}}{x^{3-4} y^{4}z^{2+3}}=\frac{(2x^{3}z^{2})^{3}}{x^{-1} y^{4}z^{5}}$

The law that

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

solving in the numerator

$\frac{(2x^{3}z^{2})^{3}}{x^{-1} y^{4}z^{5}}=\frac{2x^{3.3}z^{2.3}}{x^{-1} y^{4}z^{5}}=\frac{2x^{9}z^{6}}{x^{-1} y^{4}z^{5}}$

The law that

$\frac{x^{m}}{x^{n}} = x^{m-n}$

solving the fraction

$\frac{2x^{9}z^{6}}{x^{-1} y^{4}z^{5}}=\frac{2x^{9-(-1)}z^{6-5}}{y^{4}}$

Resulting

$\frac{8x^{10}z}{y^{4} }$

Answer 2

Answer:

sorry really blurry sorry too blurry I cannot really read it I'm sorry again