What is (4c^4)(ac^3)(3a^5c) ?

The solution to (4c^4)(ac^3)(3a^5c) is 12c^8a^6

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simplify (4c^4)(ac^3)(3a^5c)

simplify

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

12 c^{8} a^{6}

Solution steps

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

Apply exponent rule:

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

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

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

Add the numbers:

4 + 3 + 1 = 8

= 4 a \cdot 3 a^{5} c^{8}

Apply exponent rule:

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

a a^{5} = a^{1 + 5}

= 4 \cdot 3 a^{1 + 5} c^{8}

Add the numbers:

1 + 5 = 6

= 4 \cdot 3 a^{6} c^{8}

Multiply the numbers:

4 \cdot 3 = 12

= 12 c^{8} a^{6}

x - 2 < 3

- 0.2 = s + (- 0.8)

- 7 (8 x - 13) - 34 = 15 x + 57

(\frac{4}{x})^{- 3}

(\frac{3}{4})^{3}