What is (6x^3y^2)(9x^2y^4) ?

The solution to (6x^3y^2)(9x^2y^4) is 54x^5y^6

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simplify (6x^3y^2)(9x^2y^4)

simplify

(6 x^{3} y^{2}) (9 x^{2} y^{4})

54 x^{5} y^{6}

Solution steps

(6 x^{3} y^{2}) (9 x^{2} y^{4})

Apply exponent rule:

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

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

= 6 y^{2} \cdot 9 x^{3 + 2} y^{4}

Add the numbers:

3 + 2 = 5

= 6 y^{2} \cdot 9 x^{5} y^{4}

Apply exponent rule:

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

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

= 6 \cdot 9 x^{5} y^{2 + 4}

Add the numbers:

2 + 4 = 6

= 6 \cdot 9 x^{5} y^{6}

Multiply the numbers:

6 \cdot 9 = 54

= 54 x^{5} y^{6}

a^{x} \cdot b^{x}

2 11^{2}

a^{3}