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

The solution to simplify-2a^2b^3(5ab^5) is -10a^3b^8

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

simplify

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

- 10 a^{3} b^{8}

Solution steps

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

Apply exponent rule:

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

a^{2} a = a^{2 + 1}

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

Add the numbers:

2 + 1 = 3

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

Apply exponent rule:

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

b^{3} b^{5} = b^{3 + 5}

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

Add the numbers:

3 + 5 = 8

= - 2 \cdot 5 a^{3} b^{8}

Multiply the numbers:

2 \cdot 5 = 10

= - 10 a^{3} b^{8}

(45) (25)

0.02541 \cdot 1 0^{- 3}

What is simplify-2a^2b^3(5ab^5) ?
The solution to simplify-2a^2b^3(5ab^5) is -10a^3b^8