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Popular >

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

Solution

simplify

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

Solution

36 x^{5} y^{4}

Solution steps

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

Apply exponent rule:

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

6 \cdot 6 = 6^{1 + 1}

= x^{2} \cdot 6^{1 + 1} x^{3} y^{4}

Add the numbers:

1 + 1 = 2

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

Apply exponent rule:

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

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

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

Add the numbers:

2 + 3 = 5

= 6^{2} x^{5} y^{4}

6^{2} = 36

= 36 x^{5} y^{4}

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Frequently Asked Questions (FAQ)

What is (6x^2)(6x^3y^4) ?
The solution to (6x^2)(6x^3y^4) is 36x^5y^4