What is (3x^4y^5z)(2x^2y^8z^2) ?

The solution to (3x^4y^5z)(2x^2y^8z^2) is 6x^6y^{13}z^3

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simplify (3x^4y^5z)(2x^2y^8z^2)

simplify

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

6 x^{6} y^{13} z^{3}

Solution steps

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

Apply exponent rule:

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

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

= 3 y^{5} z \cdot 2 x^{4 + 2} y^{8} z^{2}

Add the numbers:

4 + 2 = 6

= 3 y^{5} z \cdot 2 x^{6} y^{8} z^{2}

Apply exponent rule:

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

y^{5} y^{8} = y^{5 + 8}

= 3 z \cdot 2 x^{6} y^{5 + 8} z^{2}

Add the numbers:

5 + 8 = 13

= 3 z \cdot 2 x^{6} y^{13} z^{2}

Apply exponent rule:

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

z z^{2} = z^{1 + 2}

= 3 \cdot 2 x^{6} y^{13} z^{1 + 2}

Add the numbers:

1 + 2 = 3

= 3 \cdot 2 x^{6} y^{13} z^{3}

Multiply the numbers:

3 \cdot 2 = 6

= 6 x^{6} y^{13} z^{3}

4.85 x 1 0^{- 4}

\frac{1}{3} (e^{3 t} - 1)^{2} e^{- 5 t}

1000 \cdot 44 \cdot 94.3 \cdot 1 0^{- 5}

(e^{2 x y}) (e^{- 2 x y})

1.68 \cdot 1 0^{- 8} (\frac{1}{0.785 \cdot 1 0 ^{- 6}})

What is (3x^4y^5z)(2x^2y^8z^2) ?
The solution to (3x^4y^5z)(2x^2y^8z^2) is 6x^6y^{13}z^3