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Popular >

simplify 2xy^4(11x^5y^5)

Solution

simplify

2 x y^{4} (11 x^{5} y^{5})

Solution

22 x^{6} y^{9}

Solution steps

2 x y^{4} (11 x^{5} y^{5})

Apply exponent rule:

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

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

= 2 y^{4} \cdot 11 x^{1 + 5} y^{5}

Add the numbers:

1 + 5 = 6

= 2 y^{4} \cdot 11 x^{6} y^{5}

Apply exponent rule:

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

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

= 2 \cdot 11 x^{6} y^{4 + 5}

Add the numbers:

4 + 5 = 9

= 2 \cdot 11 x^{6} y^{9}

Multiply the numbers:

2 \cdot 11 = 22

= 22 x^{6} y^{9}

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Frequently Asked Questions (FAQ)

What is 2xy^4(11x^5y^5) ?
The solution to 2xy^4(11x^5y^5) is 22x^6y^9