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Popular >

simplify 6xy^2(13x^5y^2)

Solution

simplify

6 x y^{2} (13 x^{5} y^{2})

Solution

78 x^{6} y^{4}

Solution steps

6 x y^{2} (13 x^{5} y^{2})

Apply exponent rule:

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

x x^{5} = x^{1 + 5}

= 6 y^{2} \cdot 13 x^{1 + 5} y^{2}

Add the numbers:

1 + 5 = 6

= 6 y^{2} \cdot 13 x^{6} y^{2}

Apply exponent rule:

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

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

= 6 \cdot 13 x^{6} y^{2 + 2}

Add the numbers:

2 + 2 = 4

= 6 \cdot 13 x^{6} y^{4}

Multiply the numbers:

6 \cdot 13 = 78

= 78 x^{6} y^{4}

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Frequently Asked Questions (FAQ)

What is 6xy^2(13x^5y^2) ?
The solution to 6xy^2(13x^5y^2) is 78x^6y^4