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Popular >

simplify 2kd(25k^4d^2)

Solution

simplify

2 k d (25 k^{4} d^{2})

Solution

50 k^{5} d^{3}

Solution steps

2 k d (25 k^{4} d^{2})

Apply exponent rule:

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

k k^{4} = k^{1 + 4}

= 2 d \cdot 25 k^{1 + 4} d^{2}

Add the numbers:

1 + 4 = 5

= 2 d \cdot 25 k^{5} d^{2}

Apply exponent rule:

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

d d^{2} = d^{1 + 2}

= 2 \cdot 25 k^{5} d^{1 + 2}

Add the numbers:

1 + 2 = 3

= 2 \cdot 25 k^{5} d^{3}

Multiply the numbers:

2 \cdot 25 = 50

= 50 k^{5} d^{3}

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Frequently Asked Questions (FAQ)

What is 2kd(25k^4d^2) ?
The solution to 2kd(25k^4d^2) is 50k^5d^3