What is (4xy^3)(3x^3y^5)(9x^4y) ?

The solution to (4xy^3)(3x^3y^5)(9x^4y) is 108x^8y^9

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simplify (4xy^3)(3x^3y^5)(9x^4y)

simplify

(4 x y^{3}) (3 x^{3} y^{5}) (9 x^{4} y)

108 x^{8} y^{9}

Solution steps

(4 x y^{3}) (3 x^{3} y^{5}) (9 x^{4} y)

Apply exponent rule:

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

x x^{3} x^{4} = x^{1 + 3 + 4}

= 4 y^{3} \cdot 3 y^{5} \cdot 9 x^{1 + 3 + 4} y

Add the numbers:

1 + 3 + 4 = 8

= 4 y^{3} \cdot 3 y^{5} \cdot 9 x^{8} y

Apply exponent rule:

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

y^{3} y^{5} y = y^{3 + 5 + 1}

= 4 \cdot 3 \cdot 9 x^{8} y^{3 + 5 + 1}

Add the numbers:

3 + 5 + 1 = 9

= 4 \cdot 3 \cdot 9 x^{8} y^{9}

Multiply the numbers:

4 \cdot 3 \cdot 9 = 108

= 108 x^{8} y^{9}

e^{- x l n (c)}

\frac{e ^{- j w}}{e ^{- j \frac{w}{2}}}

18.5 \cdot e^{- 5}

((e^{- 2})^{\frac{7}{2}})^{- 2}

What is (4xy^3)(3x^3y^5)(9x^4y) ?
The solution to (4xy^3)(3x^3y^5)(9x^4y) is 108x^8y^9