What is (-4x^4*4y^3*z)^2 ?

The solution to (-4x^4*4y^3*z)^2 is 256x^8y^6z^2

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simplify (-4x^44y^3z)^2

simplify

(- 4 x^{4} \cdot 4 y^{3} \cdot z)^{2}

256 x^{8} y^{6} z^{2}

Solution steps

(- 4 x^{4} \cdot 4 y^{3} z)^{2}

Apply exponent rule:

(- a)^{n} = a^{n},

n

is even

(- 4 x^{4} \cdot 4 y^{3} z)^{2} = (4 x^{4} \cdot 4 y^{3} z)^{2}

= (4 x^{4} \cdot 4 y^{3} z)^{2}

Apply exponent rule:

(a \cdot b)^{n} = a^{n} b^{n}

(4 x^{4} \cdot 4 y^{3} z)^{2} = 4^{2} (x^{4})^{2} \cdot 4^{2} (y^{3})^{2} z^{2}

= 4^{2} (x^{4})^{2} \cdot 4^{2} (y^{3})^{2} z^{2}

4^{2} = 16

= 16 (x^{4})^{2} \cdot 4^{2} (y^{3})^{2} z^{2}

Simplify

(x^{4})^{2} : x^{8}

= 16 x^{8} \cdot 4^{2} (y^{3})^{2} z^{2}

4^{2} = 16

= 16 x^{8} \cdot 16 (y^{3})^{2} z^{2}

Simplify

(y^{3})^{2} : y^{6}

= 16 x^{8} \cdot 16 y^{6} z^{2}

Multiply the numbers:

16 \cdot 16 = 256

= 256 x^{8} y^{6} z^{2}

(\frac{( 16 w ^{8} )}{( y ^{20} )})^{\frac{- 3}{4}}

\frac{( 1 + \frac{a}{b} )}{( 1 + \frac{b}{a} )}

(\frac{9}{16} \frac{x ^{4}}{12}) + (\frac{9}{16} x - \frac{3}{9})

x^{'} - y (\frac{x}{y}) + a (y)^{2}

(2 x^{2} - 3 x + 2 x^{4} - 5) \cdot (- 5 x - x^{2} - 4 + 3 x^{4})