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

The solution to (2x^4)(3x^2y^2)(5xy^3) is 30x^7y^5

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

simplify

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

30 x^{7} y^{5}

Solution steps

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

Apply exponent rule:

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

x^{4} x^{2} x = x^{4 + 2 + 1}

= 2 \cdot 3 y^{2} \cdot 5 x^{4 + 2 + 1} y^{3}

Add the numbers:

4 + 2 + 1 = 7

= 2 \cdot 3 y^{2} \cdot 5 x^{7} y^{3}

Apply exponent rule:

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

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

= 2 \cdot 3 \cdot 5 x^{7} y^{2 + 3}

Add the numbers:

2 + 3 = 5

= 2 \cdot 3 \cdot 5 x^{7} y^{5}

Multiply the numbers:

2 \cdot 3 \cdot 5 = 30

= 30 x^{7} y^{5}

9 + 3 x \cdot 9 - 3 x

9.81 \cdot 1 0^{- 4}

e^{- x y^{2}} \cdot e^{x}

- ln (2) \cdot 2^{- 3}

What is (2x^4)(3x^2y^2)(5xy^3) ?
The solution to (2x^4)(3x^2y^2)(5xy^3) is 30x^7y^5