What is (3x^5y)(4x^6y^6z^6) ?

The solution to (3x^5y)(4x^6y^6z^6) is 12x^{11}y^7z^6

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simplify (3x^5y)(4x^6y^6z^6)

simplify

(3 x^{5} y) (4 x^{6} y^{6} z^{6})

12 x^{11} y^{7} z^{6}

Solution steps

(3 x^{5} y) (4 x^{6} y^{6} z^{6})

Apply exponent rule:

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

x^{5} x^{6} = x^{5 + 6}

= 3 y \cdot 4 x^{5 + 6} y^{6} z^{6}

Add the numbers:

5 + 6 = 11

= 3 y \cdot 4 x^{11} y^{6} z^{6}

Apply exponent rule:

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

y y^{6} = y^{1 + 6}

= 3 \cdot 4 x^{11} y^{1 + 6} z^{6}

Add the numbers:

1 + 6 = 7

= 3 \cdot 4 x^{11} y^{7} z^{6}

Multiply the numbers:

3 \cdot 4 = 12

= 12 x^{11} y^{7} z^{6}

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

(18 x^{3} y^{2} z^{5}) (6 x^{3} y z^{2})

e^{- 60}

(10 x^{5}) (4 x^{3})

e^{- 2 l n (x + 1)}

What is (3x^5y)(4x^6y^6z^6) ?
The solution to (3x^5y)(4x^6y^6z^6) is 12x^{11}y^7z^6