What is (3x^3)(12x^2y^2z^3) ?

The solution to (3x^3)(12x^2y^2z^3) is 36x^5y^2z^3

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simplify (3x^3)(12x^2y^2z^3)

simplify

(3 x^{3}) (12 x^{2} y^{2} z^{3})

36 x^{5} y^{2} z^{3}

Solution steps

(3 x^{3}) (12 x^{2} y^{2} z^{3})

Apply exponent rule:

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

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

= 3 \cdot 12 x^{3 + 2} y^{2} z^{3}

Add the numbers:

3 + 2 = 5

= 3 \cdot 12 x^{5} y^{2} z^{3}

Multiply the numbers:

3 \cdot 12 = 36

= 36 x^{5} y^{2} z^{3}

\frac{e ^{3 x^{2}}}{e ^{12}}

(4 - 9 \cdot 8)^{3}

- 4 x \cdot e^{- \frac{x}{4}}

(e^{\frac{t}{12}})^{2}

5 \cdot 10 e^{- 1}

What is (3x^3)(12x^2y^2z^3) ?
The solution to (3x^3)(12x^2y^2z^3) is 36x^5y^2z^3