What is (8x^4y^8)(3x^4y^2) ?

The solution to (8x^4y^8)(3x^4y^2) is 24x^8y^{10}

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simplify (8x^4y^8)(3x^4y^2)

simplify

(8 x^{4} y^{8}) (3 x^{4} y^{2})

24 x^{8} y^{10}

Solution steps

(8 x^{4} y^{8}) (3 x^{4} y^{2})

Apply exponent rule:

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

x^{4} x^{4} = x^{4 + 4}

= 8 y^{8} \cdot 3 x^{4 + 4} y^{2}

Add the numbers:

4 + 4 = 8

= 8 y^{8} \cdot 3 x^{8} y^{2}

Apply exponent rule:

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

y^{8} y^{2} = y^{8 + 2}

= 8 \cdot 3 x^{8} y^{8 + 2}

Add the numbers:

8 + 2 = 10

= 8 \cdot 3 x^{8} y^{10}

Multiply the numbers:

8 \cdot 3 = 24

= 24 x^{8} y^{10}

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

e^{- (1)}

(e^{2 x}) (e^{2 x})

(5 m) (2 m^{2})