What is 0.2a^2b^3*(-5a^3b)^2 ?

The solution to 0.2a^2b^3*(-5a^3b)^2 is 5a^8b^5

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simplify 0.2a^2b^3*(-5a^3b)^2

simplify

0.2 a^{2} b^{3} \cdot (- 5 a^{3} b)^{2}

5 a^{8} b^{5}

Solution steps

0.2 a^{2} b^{3} (- 5 a^{3} b)^{2}

Simplify

(- 5 a^{3} b)^{2} : 25 a^{6} b^{2}

= 0.2 a^{2} b^{3} \cdot 25 a^{6} b^{2}

Multiply the numbers:

0.2 \cdot 25 = 5

= 5 a^{2} b^{3} a^{6} b^{2}

Simplify

a^{2} a^{6} : a^{8}

= 5 a^{8} b^{3} b^{2}

Simplify

b^{3} b^{2} : b^{5}

= 5 a^{8} b^{5}

\frac{n}{n + 1}

e^{- t^{2}}

\frac{( n + 1 ) ^{2}}{n ^{2}}

e^{- 2 l n ∣ x ∣}

(2 x^{3}) \cdot (5 x^{3})