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

The solution to 3x^2y^3(3x^2y^3) is 9x^4y^6

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

simplify

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

9 x^{4} y^{6}

Solution steps

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

Apply exponent rule:

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

3 \cdot 3 = 3^{1 + 1}

= x^{2} y^{3} \cdot 3^{1 + 1} x^{2} y^{3}

Add the numbers:

1 + 1 = 2

= x^{2} y^{3} \cdot 3^{2} x^{2} y^{3}

Apply exponent rule:

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

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

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

Add the numbers:

2 + 2 = 4

= y^{3} \cdot 3^{2} x^{4} y^{3}

Apply exponent rule:

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

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

= 3^{2} x^{4} y^{3 + 3}

Add the numbers:

3 + 3 = 6

= 3^{2} x^{4} y^{6}

3^{2} = 9

= 9 x^{4} y^{6}

2.07 \cdot 1 0^{- 5}

- e^{2 x} \cdot e^{- 2 x}

(u - 3)^{2} (u^{2} + 3 u + 9)^{2}