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Popular >

simplify (4abd)(3a^3be)

Solution

simplify

(4 ab d) (3 a^{3} b e)

Solution

12 e a^{4} b^{2} d

Solution steps

(4 ab d) (3 a^{3} b e)

Apply exponent rule:

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

a a^{3} = a^{1 + 3}

= 4 b d \cdot 3 a^{1 + 3} b e

Add the numbers:

1 + 3 = 4

= 4 b d \cdot 3 a^{4} b e

Apply exponent rule:

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

bb = b^{1 + 1}

= 4 d \cdot 3 a^{4} b^{1 + 1} e

Add the numbers:

1 + 1 = 2

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

Multiply the numbers:

4 \cdot 3 = 12

= 12 e a^{4} b^{2} d

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Frequently Asked Questions (FAQ)

What is (4abd)(3a^3be) ?
The solution to (4abd)(3a^3be) is 12ea^4b^2d