What is (2a^3)(5a^2b)(a^5b^3) ?

The solution to (2a^3)(5a^2b)(a^5b^3) is 10a^{10}b^4

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

simplify

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

10 a^{10} b^{4}

Solution steps

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

Apply exponent rule:

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

a^{3} a^{2} a^{5} = a^{3 + 2 + 5}

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

Add the numbers:

3 + 2 + 5 = 10

= 2 \cdot 5 b a^{10} b^{3}

Apply exponent rule:

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

b b^{3} = b^{1 + 3}

= 2 \cdot 5 a^{10} b^{1 + 3}

Add the numbers:

1 + 3 = 4

= 2 \cdot 5 a^{10} b^{4}

Multiply the numbers:

2 \cdot 5 = 10

= 10 a^{10} b^{4}

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What is (2a^3)(5a^2b)(a^5b^3) ?
The solution to (2a^3)(5a^2b)(a^5b^3) is 10a^{10}b^4