What is 6a^2b^3c^4(4a^4b^3c) ?

The solution to 6a^2b^3c^4(4a^4b^3c) is 24a^6b^6c^5

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simplify 6a^2b^3c^4(4a^4b^3c)

simplify

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

24 a^{6} b^{6} c^{5}

Solution steps

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

Apply exponent rule:

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

a^{2} a^{4} = a^{2 + 4}

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

Add the numbers:

2 + 4 = 6

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

Apply exponent rule:

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

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

= 6 c^{4} \cdot 4 a^{6} b^{3 + 3} c

Add the numbers:

3 + 3 = 6

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

Apply exponent rule:

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

c^{4} c = c^{4 + 1}

= 6 \cdot 4 a^{6} b^{6} c^{4 + 1}

Add the numbers:

4 + 1 = 5

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

Multiply the numbers:

6 \cdot 4 = 24

= 24 a^{6} b^{6} c^{5}

5.35 \cdot 1 0^{- 3}

e^{- y} d x

6.73 \cdot 1 0^{- 7}

(x)^{2} (y)^{2}

\frac{e ^{2}}{x ^{2}}

What is 6a^2b^3c^4(4a^4b^3c) ?
The solution to 6a^2b^3c^4(4a^4b^3c) is 24a^6b^6c^5