What is (2ab^3c^3)(5b^2c^4d) ?

The solution to (2ab^3c^3)(5b^2c^4d) is 10ab^5c^7d

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simplify (2ab^3c^3)(5b^2c^4d)

simplify

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

10 a b^{5} c^{7} d

Solution steps

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

Apply exponent rule:

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

b^{3} b^{2} = b^{3 + 2}

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

Add the numbers:

3 + 2 = 5

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

Apply exponent rule:

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

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

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

Add the numbers:

3 + 4 = 7

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

Multiply the numbers:

2 \cdot 5 = 10

= 10 a b^{5} c^{7} d

(\frac{1}{2} e^{\frac{x}{2}}) (x e^{\frac{x}{2}})

0.08 \times 1 0^{- 3}

e^{- \frac{1}{8} (6)}

(ln (8 x) + 1) (8 x)^{x}

What is (2ab^3c^3)(5b^2c^4d) ?
The solution to (2ab^3c^3)(5b^2c^4d) is 10ab^5c^7d