What is (4h^5k^3)(15k^2h^3) ?

The solution to (4h^5k^3)(15k^2h^3) is 60h^8k^5

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simplify (4h^5k^3)(15k^2h^3)

simplify

(4 h^{5} k^{3}) (15 k^{2} h^{3})

60 h^{8} k^{5}

Solution steps

(4 h^{5} k^{3}) (15 k^{2} h^{3})

Apply exponent rule:

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

h^{5} h^{3} = h^{5 + 3}

= 4 k^{3} \cdot 15 k^{2} h^{5 + 3}

Add the numbers:

5 + 3 = 8

= 4 k^{3} \cdot 15 k^{2} h^{8}

Apply exponent rule:

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

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

= 4 \cdot 15 k^{3 + 2} h^{8}

Add the numbers:

3 + 2 = 5

= 4 \cdot 15 k^{5} h^{8}

Multiply the numbers:

4 \cdot 15 = 60

= 60 h^{8} k^{5}

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