What is (6x^{10}y^5z)(10x^3y^4z^2) ?

The solution to (6x^{10}y^5z)(10x^3y^4z^2) is 60x^{13}y^9z^3

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simplify (6x^{10}y^5z)(10x^3y^4z^2)

simplify

(6 x^{10} y^{5} z) (10 x^{3} y^{4} z^{2})

60 x^{13} y^{9} z^{3}

Solution steps

(6 x^{10} y^{5} z) (10 x^{3} y^{4} z^{2})

Apply exponent rule:

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

x^{10} x^{3} = x^{10 + 3}

= 6 y^{5} z \cdot 10 x^{10 + 3} y^{4} z^{2}

Add the numbers:

10 + 3 = 13

= 6 y^{5} z \cdot 10 x^{13} y^{4} z^{2}

Apply exponent rule:

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

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

= 6 z \cdot 10 x^{13} y^{5 + 4} z^{2}

Add the numbers:

5 + 4 = 9

= 6 z \cdot 10 x^{13} y^{9} z^{2}

Apply exponent rule:

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

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

= 6 \cdot 10 x^{13} y^{9} z^{1 + 2}

Add the numbers:

1 + 2 = 3

= 6 \cdot 10 x^{13} y^{9} z^{3}

Multiply the numbers:

6 \cdot 10 = 60

= 60 x^{13} y^{9} z^{3}

c^{3} d^{2} e^{5} \cdot 3 c e^{2}

n^{2} x e^{- x n}

(x^{2} - 9) (x^{2} - 9)

(x - y)^{2} \cdot (x + y)^{2}

(5 - 1) (5 - 1)

What is (6x^{10}y^5z)(10x^3y^4z^2) ?
The solution to (6x^{10}y^5z)(10x^3y^4z^2) is 60x^{13}y^9z^3