What is (5a^3b^2c^4)(3ab^2) ?

The solution to (5a^3b^2c^4)(3ab^2) is 15a^4b^4c^4

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simplify (5a^3b^2c^4)(3ab^2)

simplify

(5 a^{3} b^{2} c^{4}) (3 a b^{2})

15 a^{4} b^{4} c^{4}

Solution steps

(5 a^{3} b^{2} c^{4}) (3 a b^{2})

Apply exponent rule:

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

a^{3} a = a^{3 + 1}

= 5 b^{2} c^{4} \cdot 3 a^{3 + 1} b^{2}

Add the numbers:

3 + 1 = 4

= 5 b^{2} c^{4} \cdot 3 a^{4} b^{2}

Apply exponent rule:

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

b^{2} b^{2} = b^{2 + 2}

= 5 c^{4} \cdot 3 a^{4} b^{2 + 2}

Add the numbers:

2 + 2 = 4

= 5 c^{4} \cdot 3 a^{4} b^{4}

Multiply the numbers:

5 \cdot 3 = 15

= 15 a^{4} b^{4} c^{4}

50 e^{- 0.15 (3)}

1000 e^{- 0.02 (50)} \cdot 50

((1 0^{2})^{2})^{2}

\frac{0.85 8 ^{2}}{1.25 2 ^{2}}

(x^{2} - y) (x^{3} y^{2}) (x^{4} y^{3}) (x^{5} y^{4})

What is (5a^3b^2c^4)(3ab^2) ?
The solution to (5a^3b^2c^4)(3ab^2) is 15a^4b^4c^4