What is simplify-2(5a^2)(2a^3) ?

The solution to simplify-2(5a^2)(2a^3) is -20a^5

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simplify-2(5a^2)(2a^3)

simplify

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

- 20 a^{5}

Solution steps

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

Apply exponent rule:

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

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

= - 5 a^{2} \cdot 2^{1 + 1} a^{3}

Add the numbers:

1 + 1 = 2

= - 5 a^{2} \cdot 2^{2} a^{3}

Apply exponent rule:

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

a^{2} a^{3} = a^{2 + 3}

= - 5 \cdot 2^{2} a^{2 + 3}

Add the numbers:

2 + 3 = 5

= - 5 \cdot 2^{2} a^{5}

2^{2} = 4

= - 5 \cdot 4 a^{5}

Multiply the numbers:

5 \cdot 4 = 20

= - 20 a^{5}

15 e^{- \frac{1}{5}}

0.14 \cdot 2 \cdot 1 0^{- 5}

(4 x^{4} - 10 x^{2} + 2) e^{(- x^{2})}

\frac{e ^{x}}{e ^{1 + x}}

What is simplify-2(5a^2)(2a^3) ?
The solution to simplify-2(5a^2)(2a^3) is -20a^5