What is (18x^3y^2z^5)\times (6x^3yz^2) ?

The solution to (18x^3y^2z^5)\times (6x^3yz^2) is 108x^6y^3z^7

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simplify (18x^3y^2z^5)\times (6x^3yz^2)

simplify

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

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

Solution steps

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

Apply exponent rule:

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

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

= 18 y^{2} z^{5} \cdot 6 x^{3 + 3} y z^{2}

Add the numbers:

3 + 3 = 6

= 18 y^{2} z^{5} \cdot 6 x^{6} y z^{2}

Apply exponent rule:

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

y^{2} y = y^{2 + 1}

= 18 z^{5} \cdot 6 x^{6} y^{2 + 1} z^{2}

Add the numbers:

2 + 1 = 3

= 18 z^{5} \cdot 6 x^{6} y^{3} z^{2}

Apply exponent rule:

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

z^{5} z^{2} = z^{5 + 2}

= 18 \cdot 6 x^{6} y^{3} z^{5 + 2}

Add the numbers:

5 + 2 = 7

= 18 \cdot 6 x^{6} y^{3} z^{7}

Multiply the numbers:

18 \cdot 6 = 108

= 108 x^{6} y^{3} z^{7}

e^{- t} \cdot sin (t)

e^{- 3.5}

(x + y) (x + y)

x^{2} + 1 x^{2} - 1

(32) (32)

What is (18x^3y^2z^5)\times (6x^3yz^2) ?
The solution to (18x^3y^2z^5)\times (6x^3yz^2) is 108x^6y^3z^7