What is (5a^2b^3c^4)(6a^3b^4c^2) ?

The solution to (5a^2b^3c^4)(6a^3b^4c^2) is 30a^5b^7c^6

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simplify (5a^2b^3c^4)(6a^3b^4c^2)

simplify

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

30 a^{5} b^{7} c^{6}

Solution steps

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

Apply exponent rule:

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

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

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

Add the numbers:

2 + 3 = 5

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

Apply exponent rule:

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

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

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

Add the numbers:

3 + 4 = 7

= 5 c^{4} \cdot 6 a^{5} b^{7} c^{2}

Apply exponent rule:

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

c^{4} c^{2} = c^{4 + 2}

= 5 \cdot 6 a^{5} b^{7} c^{4 + 2}

Add the numbers:

4 + 2 = 6

= 5 \cdot 6 a^{5} b^{7} c^{6}

Multiply the numbers:

5 \cdot 6 = 30

= 30 a^{5} b^{7} c^{6}

\frac{4 + 2}{2}

3200

\frac{a + 2}{6} < 0

x^{2} - 8 x + 7

- 20 = 5 v

What is (5a^2b^3c^4)(6a^3b^4c^2) ?
The solution to (5a^2b^3c^4)(6a^3b^4c^2) is 30a^5b^7c^6