What is (9x^2yz^3)(3x^3y^3z^3) ?

The solution to (9x^2yz^3)(3x^3y^3z^3) is 27x^5y^4z^6

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simplify (9x^2yz^3)(3x^3y^3z^3)

simplify

(9 x^{2} y z^{3}) (3 x^{3} y^{3} z^{3})

27 x^{5} y^{4} z^{6}

Solution steps

(9 x^{2} y z^{3}) (3 x^{3} y^{3} z^{3})

Apply exponent rule:

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

x^{2} x^{3} = x^{2 + 3}

= 9 y z^{3} \cdot 3 x^{2 + 3} y^{3} z^{3}

Add the numbers:

2 + 3 = 5

= 9 y z^{3} \cdot 3 x^{5} y^{3} z^{3}

Apply exponent rule:

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

y y^{3} = y^{1 + 3}

= 9 z^{3} \cdot 3 x^{5} y^{1 + 3} z^{3}

Add the numbers:

1 + 3 = 4

= 9 z^{3} \cdot 3 x^{5} y^{4} z^{3}

Apply exponent rule:

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

z^{3} z^{3} = z^{3 + 3}

= 9 \cdot 3 x^{5} y^{4} z^{3 + 3}

Add the numbers:

3 + 3 = 6

= 9 \cdot 3 x^{5} y^{4} z^{6}

Multiply the numbers:

9 \cdot 3 = 27

= 27 x^{5} y^{4} z^{6}

e^{2 k t} (k^{2} + 1)

7.85 \cdot 1 0^{- 6}

- 14.5833 e^{- 0.0833} \cdot 0.5

8 a^{2} (x - 2)^{2} (6 a^{3} + x^{2} - 4 x + 2 a - 3 x a^{3} + 4)

What is (9x^2yz^3)(3x^3y^3z^3) ?
The solution to (9x^2yz^3)(3x^3y^3z^3) is 27x^5y^4z^6