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Popular >

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

Solution

simplify

2 (2 x^{4} (3 x^{3}))

Solution

12 x^{7}

Solution steps

2 (2 x^{4} (3 x^{3}))

Apply exponent rule:

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

2 \cdot 2 = 2^{1 + 1}

= 2^{1 + 1} x^{4} \cdot 3 x^{3}

Add the numbers:

1 + 1 = 2

= 2^{2} x^{4} \cdot 3 x^{3}

Apply exponent rule:

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

x^{4} x^{3} = x^{4 + 3}

= 2^{2} \cdot 3 x^{4 + 3}

Add the numbers:

4 + 3 = 7

= 2^{2} \cdot 3 x^{7}

2^{2} = 4

= 4 \cdot 3 x^{7}

Multiply the numbers:

4 \cdot 3 = 12

= 12 x^{7}

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Frequently Asked Questions (FAQ)

What is 2(2x^4(3x^3)) ?
The solution to 2(2x^4(3x^3)) is 12x^7