What is 20a^3b^4c^2(4a^3c^2) ?

The solution to 20a^3b^4c^2(4a^3c^2) is 80a^6b^4c^4

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simplify 20a^3b^4c^2(4a^3c^2)

simplify

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

80 a^{6} b^{4} c^{4}

Solution steps

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

Apply exponent rule:

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

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

= 20 b^{4} c^{2} \cdot 4 a^{3 + 3} c^{2}

Add the numbers:

3 + 3 = 6

= 20 b^{4} c^{2} \cdot 4 a^{6} c^{2}

Apply exponent rule:

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

c^{2} c^{2} = c^{2 + 2}

= 20 b^{4} \cdot 4 a^{6} c^{2 + 2}

Add the numbers:

2 + 2 = 4

= 20 b^{4} \cdot 4 a^{6} c^{4}

Multiply the numbers:

20 \cdot 4 = 80

= 80 a^{6} b^{4} c^{4}

(T \cdot 1 0^{r}) (6 \cdot 1 0^{5})

e^{- x} \cdot 2 e^{x}

(8.4 \cdot 1 0^{m}) \cdot (2.5 \cdot 1 0^{n + 1})

e^{- ∣ t - 8 ∣}

What is 20a^3b^4c^2(4a^3c^2) ?
The solution to 20a^3b^4c^2(4a^3c^2) is 80a^6b^4c^4