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Popular >

simplify 3a^3x(4a^2bcx^3)

Solution

simplify

3 a^{3} x (4 a^{2} b c x^{3})

Solution

12 a^{5} b c x^{4}

Solution steps

3 a^{3} x (4 a^{2} b c x^{3})

Apply exponent rule:

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

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

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

Add the numbers:

3 + 2 = 5

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

Apply exponent rule:

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

x x^{3} = x^{1 + 3}

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

Add the numbers:

1 + 3 = 4

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

Multiply the numbers:

3 \cdot 4 = 12

= 12 a^{5} b c x^{4}

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Frequently Asked Questions (FAQ)

What is 3a^3x(4a^2bcx^3) ?
The solution to 3a^3x(4a^2bcx^3) is 12a^5bcx^4