What is (0.1a^2b^3)(2ab^4)(5a^3bc) ?

The solution to (0.1a^2b^3)(2ab^4)(5a^3bc) is a^6b^8c

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simplify (0.1a^2b^3)(2ab^4)(5a^3bc)

simplify

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

a^{6} b^{8} c

Solution steps

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

Apply exponent rule:

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

a^{2} a a^{3} = a^{2 + 1 + 3}

= 0.1 b^{3} \cdot 2 b^{4} \cdot 5 a^{2 + 1 + 3} b c

Add the numbers:

2 + 1 + 3 = 6

= 0.1 b^{3} \cdot 2 b^{4} \cdot 5 a^{6} b c

Apply exponent rule:

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

b^{3} b^{4} b = b^{3 + 4 + 1}

= 0.1 \cdot 2 \cdot 5 a^{6} b^{3 + 4 + 1} c

Add the numbers:

3 + 4 + 1 = 8

= 0.1 \cdot 2 \cdot 5 a^{6} b^{8} c

Multiply:

0.1 \cdot 2 \cdot 5 a^{6} b^{8} c = a^{6} b^{8} c

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

- e^{- \frac{0}{4}} (0 + 4)

\frac{1}{2} e^{- \frac{5}{2}}

1.82 (1 0^{- 6})

3 m^{3} n^{5} (15 m^{6} n)

What is (0.1a^2b^3)(2ab^4)(5a^3bc) ?
The solution to (0.1a^2b^3)(2ab^4)(5a^3bc) is a^6b^8c