What is (2x^9y^{10})(4x^2y^{10}) ?

The solution to (2x^9y^{10})(4x^2y^{10}) is 8x^{11}y^{20}

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simplify (2x^9y^{10})(4x^2y^{10})

simplify

(2 x^{9} y^{10}) (4 x^{2} y^{10})

8 x^{11} y^{20}

Solution steps

(2 x^{9} y^{10}) (4 x^{2} y^{10})

Apply exponent rule:

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

x^{9} x^{2} = x^{9 + 2}

= 2 y^{10} \cdot 4 x^{9 + 2} y^{10}

Add the numbers:

9 + 2 = 11

= 2 y^{10} \cdot 4 x^{11} y^{10}

Apply exponent rule:

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

y^{10} y^{10} = y^{10 + 10}

= 2 \cdot 4 x^{11} y^{10 + 10}

Add the numbers:

10 + 10 = 20

= 2 \cdot 4 x^{11} y^{20}

Multiply the numbers:

2 \cdot 4 = 8

= 8 x^{11} y^{20}

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What is (2x^9y^{10})(4x^2y^{10}) ?
The solution to (2x^9y^{10})(4x^2y^{10}) is 8x^{11}y^{20}