What is (x^3y^2z)(x^2m^2a^2)(a^3m^3x^4) ?

The solution to (x^3y^2z)(x^2m^2a^2)(a^3m^3x^4) is m^5a^5x^9y^2z

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simplify (x^3y^2z)(x^2m^2a^2)(a^3m^3x^4)

simplify

(x^{3} y^{2} z) (x^{2} m^{2} a^{2}) (a^{3} m^{3} x^{4})

m^{5} a^{5} x^{9} y^{2} z

Solution steps

(x^{3} y^{2} z) (x^{2} m^{2} a^{2}) (a^{3} m^{3} x^{4})

Apply exponent rule:

a^{b} \cdot a^{c} = a^{b + c}

m^{2} m^{3} = m^{2 + 3}

= x^{3} y^{2} z x^{2} a^{2} a^{3} m^{2 + 3} x^{4}

Add the numbers:

2 + 3 = 5

= x^{3} y^{2} z x^{2} a^{2} a^{3} m^{5} x^{4}

Apply exponent rule:

a^{b} \cdot a^{c} = a^{b + c}

a^{2} a^{3} = a^{2 + 3}

= x^{3} y^{2} z x^{2} a^{2 + 3} m^{5} x^{4}

Add the numbers:

2 + 3 = 5

= x^{3} y^{2} z x^{2} a^{5} m^{5} x^{4}

Apply exponent rule:

a^{b} \cdot a^{c} = a^{b + c}

x^{3} x^{2} x^{4} = x^{3 + 2 + 4}

= y^{2} z a^{5} m^{5} x^{3 + 2 + 4}

Add the numbers:

3 + 2 + 4 = 9

= y^{2} z a^{5} m^{5} x^{9}

x^{\frac{1}{3}} y^{\frac{1}{3}} (x^{\frac{1}{6}} - y^{\frac{1}{6}})

6.6 \cdot 1 0^{- 28}

(8 x) (24 x^{4} y)

33 (33)

What is (x^3y^2z)(x^2m^2a^2)(a^3m^3x^4) ?
The solution to (x^3y^2z)(x^2m^2a^2)(a^3m^3x^4) is m^5a^5x^9y^2z