What is (x^2y^4z^4)*(x^2y^5z^8) ?

The solution to (x^2y^4z^4)*(x^2y^5z^8) is x^4y^9z^{12}

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simplify (x^2y^4z^4)*(x^2y^5z^8)

simplify

(x^{2} y^{4} z^{4}) \cdot (x^{2} y^{5} z^{8})

x^{4} y^{9} z^{12}

Solution steps

(x^{2} y^{4} z^{4}) (x^{2} y^{5} z^{8})

Apply exponent rule:

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

x^{2} x^{2} = x^{2 + 2}

= y^{4} z^{4} x^{2 + 2} y^{5} z^{8}

Add the numbers:

2 + 2 = 4

= y^{4} z^{4} x^{4} y^{5} z^{8}

Apply exponent rule:

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

y^{4} y^{5} = y^{4 + 5}

= z^{4} x^{4} y^{4 + 5} z^{8}

Add the numbers:

4 + 5 = 9

= z^{4} x^{4} y^{9} z^{8}

Apply exponent rule:

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

z^{4} z^{8} = z^{4 + 8}

= x^{4} y^{9} z^{4 + 8}

Add the numbers:

4 + 8 = 12

= x^{4} y^{9} z^{12}

\frac{15}{2} x^{4} y^{- 2} (0.13 x^{5} y^{4})

e^{- \frac{x}{4}}

e^{- 2 x}

2 (25)

e^{- l n (a)}

What is (x^2y^4z^4)*(x^2y^5z^8) ?
The solution to (x^2y^4z^4)*(x^2y^5z^8) is x^4y^9z^{12}