What is (6x^5y^4)(2x^4y^3) ?

The solution to (6x^5y^4)(2x^4y^3) is 12x^9y^7

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simplify (6x^5y^4)(2x^4y^3)

simplify

(6 x^{5} y^{4}) (2 x^{4} y^{3})

12 x^{9} y^{7}

Solution steps

(6 x^{5} y^{4}) (2 x^{4} y^{3})

Apply exponent rule:

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

x^{5} x^{4} = x^{5 + 4}

= 6 y^{4} \cdot 2 x^{5 + 4} y^{3}

Add the numbers:

5 + 4 = 9

= 6 y^{4} \cdot 2 x^{9} y^{3}

Apply exponent rule:

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

y^{4} y^{3} = y^{4 + 3}

= 6 \cdot 2 x^{9} y^{4 + 3}

Add the numbers:

4 + 3 = 7

= 6 \cdot 2 x^{9} y^{7}

Multiply the numbers:

6 \cdot 2 = 12

= 12 x^{9} y^{7}

x^{2} - 1

(e^{y} + 1)^{2} \cdot e^{- y}

e^{- 4.7655}

500 \cdot 8.85 \cdot 1 0^{- 12}