What is (2x^2y^4)(3x^5y^5)(2x^3y^3) ?

The solution to (2x^2y^4)(3x^5y^5)(2x^3y^3) is 12x^{10}y^{12}

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simplify (2x^2y^4)(3x^5y^5)(2x^3y^3)

simplify

(2 x^{2} y^{4}) (3 x^{5} y^{5}) (2 x^{3} y^{3})

12 x^{10} y^{12}

Solution steps

(2 x^{2} y^{4}) (3 x^{5} y^{5}) (2 x^{3} y^{3})

Apply exponent rule:

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

2 \cdot 2 = 2^{1 + 1}

= x^{2} y^{4} \cdot 3 x^{5} y^{5} \cdot 2^{1 + 1} x^{3} y^{3}

Add the numbers:

1 + 1 = 2

= x^{2} y^{4} \cdot 3 x^{5} y^{5} \cdot 2^{2} x^{3} y^{3}

Apply exponent rule:

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

x^{2} x^{5} x^{3} = x^{2 + 5 + 3}

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

Add the numbers:

2 + 5 + 3 = 10

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

Apply exponent rule:

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

y^{4} y^{5} y^{3} = y^{4 + 5 + 3}

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

Add the numbers:

4 + 5 + 3 = 12

= 3 \cdot 2^{2} x^{10} y^{12}

2^{2} = 4

= 3 \cdot 4 x^{10} y^{12}

Multiply the numbers:

3 \cdot 4 = 12

= 12 x^{10} y^{12}

1 0^{- 4} (0.438) (3 \cdot 3)^{2}

\frac{3}{2} \cdot 2

\frac{2 ^{\frac{3}{2}}}{3 ^{\frac{3}{2}}}

\frac{e ^{x^{\frac{3.99}{4}}}}{e ^{x}}

What is (2x^2y^4)(3x^5y^5)(2x^3y^3) ?
The solution to (2x^2y^4)(3x^5y^5)(2x^3y^3) is 12x^{10}y^{12}