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Popular >

simplify 2x^2(2x^3)

Solution

simplify

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

Solution

4 x^{5}

Solution steps

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

Apply exponent rule:

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

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

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

Add the numbers:

1 + 1 = 2

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

Apply exponent rule:

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

x^{2} x^{3} = x^{2 + 3}

= 2^{2} x^{2 + 3}

Add the numbers:

2 + 3 = 5

= 2^{2} x^{5}

2^{2} = 4

= 4 x^{5}

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Frequently Asked Questions (FAQ)

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