What is (5a^2)(3bc^3)(2ac^2) ?

The solution to (5a^2)(3bc^3)(2ac^2) is 30a^3bc^5

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simplify (5a^2)(3bc^3)(2ac^2)

simplify

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

30 a^{3} b c^{5}

Solution steps

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

Apply exponent rule:

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

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

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

Add the numbers:

2 + 1 = 3

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

Apply exponent rule:

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

c^{3} c^{2} = c^{3 + 2}

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

Add the numbers:

3 + 2 = 5

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

Multiply the numbers:

5 \cdot 3 \cdot 2 = 30

= 30 a^{3} b c^{5}

\frac{5 + 2 6}{5 - 2 6}

(x^{2} - 1) \cdot (x^{2} - 1)

\frac{e ^{x}}{e ^{4 x}}

What is (5a^2)(3bc^3)(2ac^2) ?
The solution to (5a^2)(3bc^3)(2ac^2) is 30a^3bc^5