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Popular >

simplify (2k)(3k^2)(2k^3)

Solution

simplify

(2 k) (3 k^{2}) (2 k^{3})

Solution

12 k^{6}

Solution steps

(2 k) (3 k^{2}) (2 k^{3})

Apply exponent rule:

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

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

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

Add the numbers:

1 + 1 = 2

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

Apply exponent rule:

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

k k^{2} k^{3} = k^{1 + 2 + 3}

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

Add the numbers:

1 + 2 + 3 = 6

= 3 \cdot 2^{2} k^{6}

2^{2} = 4

= 3 \cdot 4 k^{6}

Multiply the numbers:

3 \cdot 4 = 12

= 12 k^{6}

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Frequently Asked Questions (FAQ)

What is (2k)(3k^2)(2k^3) ?
The solution to (2k)(3k^2)(2k^3) is 12k^6