What is (3a^6b^5)(5a^2bc^3) ?

The solution to (3a^6b^5)(5a^2bc^3) is 15a^8b^6c^3

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simplify (3a^6b^5)(5a^2bc^3)

simplify

(3 a^{6} b^{5}) (5 a^{2} b c^{3})

15 a^{8} b^{6} c^{3}

Solution steps

(3 a^{6} b^{5}) (5 a^{2} b c^{3})

Apply exponent rule:

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

a^{6} a^{2} = a^{6 + 2}

= 3 b^{5} \cdot 5 a^{6 + 2} b c^{3}

Add the numbers:

6 + 2 = 8

= 3 b^{5} \cdot 5 a^{8} b c^{3}

Apply exponent rule:

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

b^{5} b = b^{5 + 1}

= 3 \cdot 5 a^{8} b^{5 + 1} c^{3}

Add the numbers:

5 + 1 = 6

= 3 \cdot 5 a^{8} b^{6} c^{3}

Multiply the numbers:

3 \cdot 5 = 15

= 15 a^{8} b^{6} c^{3}

e^{- 4 (0.05)}

(23) (53)

3694.4207 \cdot 1 0^{- 3}

(3 j^{4}) 412 j^{5}

(5 x + 2 y) (5 x - 2 y)

What is (3a^6b^5)(5a^2bc^3) ?
The solution to (3a^6b^5)(5a^2bc^3) is 15a^8b^6c^3