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

The solution to (3x^4y^2z)(2x^3y^5z^2) is 6x^7y^7z^3

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

simplify

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

6 x^{7} y^{7} z^{3}

Solution steps

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

Apply exponent rule:

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

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

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

Add the numbers:

4 + 3 = 7

= 3 y^{2} z \cdot 2 x^{7} y^{5} z^{2}

Apply exponent rule:

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

y^{2} y^{5} = y^{2 + 5}

= 3 z \cdot 2 x^{7} y^{2 + 5} z^{2}

Add the numbers:

2 + 5 = 7

= 3 z \cdot 2 x^{7} y^{7} z^{2}

Apply exponent rule:

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

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

= 3 \cdot 2 x^{7} y^{7} z^{1 + 2}

Add the numbers:

1 + 2 = 3

= 3 \cdot 2 x^{7} y^{7} z^{3}

Multiply the numbers:

3 \cdot 2 = 6

= 6 x^{7} y^{7} z^{3}

\frac{2 + x}{4 - x}

(\frac{3}{4})^{- 3}

e^{- 0.5}

e^{- x} \cdot e

- 35 e^{- 0.35 (10)}

What is (3x^4y^2z)(2x^3y^5z^2) ?
The solution to (3x^4y^2z)(2x^3y^5z^2) is 6x^7y^7z^3