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

The solution to (2x^2y^3)(2xy^3) is 4x^3y^6

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

simplify

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

4 x^{3} y^{6}

Solution steps

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

Apply exponent rule:

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

2 \cdot 2 = 2^{1 + 1}

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

Add the numbers:

1 + 1 = 2

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

Apply exponent rule:

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

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

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

Add the numbers:

2 + 1 = 3

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

Apply exponent rule:

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

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

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

Add the numbers:

3 + 3 = 6

= 2^{2} x^{3} y^{6}

2^{2} = 4

= 4 x^{3} y^{6}

- \frac{8}{2}

(e^{(t - 1)})^{2}

e^{- 2} (ln (e^{- 2}))^{2}

\frac{- 72}{8}

f^{- 1} (11364)