What is (2x^3y^7z)(6x^3y^2z^4) ?

The solution to (2x^3y^7z)(6x^3y^2z^4) is 12x^6y^9z^5

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simplify (2x^3y^7z)(6x^3y^2z^4)

simplify

(2 x^{3} y^{7} z) (6 x^{3} y^{2} z^{4})

12 x^{6} y^{9} z^{5}

Solution steps

(2 x^{3} y^{7} z) (6 x^{3} y^{2} z^{4})

Apply exponent rule:

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

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

= 2 y^{7} z \cdot 6 x^{3 + 3} y^{2} z^{4}

Add the numbers:

3 + 3 = 6

= 2 y^{7} z \cdot 6 x^{6} y^{2} z^{4}

Apply exponent rule:

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

y^{7} y^{2} = y^{7 + 2}

= 2 z \cdot 6 x^{6} y^{7 + 2} z^{4}

Add the numbers:

7 + 2 = 9

= 2 z \cdot 6 x^{6} y^{9} z^{4}

Apply exponent rule:

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

z z^{4} = z^{1 + 4}

= 2 \cdot 6 x^{6} y^{9} z^{1 + 4}

Add the numbers:

1 + 4 = 5

= 2 \cdot 6 x^{6} y^{9} z^{5}

Multiply the numbers:

2 \cdot 6 = 12

= 12 x^{6} y^{9} z^{5}

10 x^{3} (x^{2} y^{3})

e^{- \frac{4}{3}}

e^{t} e^{t}

e^{- 16}

(e^{3 t})^{2}

What is (2x^3y^7z)(6x^3y^2z^4) ?
The solution to (2x^3y^7z)(6x^3y^2z^4) is 12x^6y^9z^5