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

The solution to (x^2y)(x^3y^2)(x^4y^3)(x^5y^4) is x^{14}y^{10}

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

simplify

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

x^{14} y^{10}

Solution steps

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

Apply exponent rule:

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

x^{2} x^{3} x^{4} x^{5} = x^{2 + 3 + 4 + 5}

= y y^{2} y^{3} x^{2 + 3 + 4 + 5} y^{4}

Add the numbers:

2 + 3 + 4 + 5 = 14

= y y^{2} y^{3} x^{14} y^{4}

Apply exponent rule:

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

y y^{2} y^{3} y^{4} = y^{1 + 2 + 3 + 4}

= x^{14} y^{1 + 2 + 3 + 4}

Add the numbers:

1 + 2 + 3 + 4 = 10

= x^{14} y^{10}

70 e^{- 3}

70 e^{- 4}

e^{- j^{0}}

\frac{- 50}{- 10}

7.2 x 1 0^{- 4}

What is (x^2y)(x^3y^2)(x^4y^3)(x^5y^4) ?
The solution to (x^2y)(x^3y^2)(x^4y^3)(x^5y^4) is x^{14}y^{10}