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Popular >

simplify (8jk^5)(5j^8k^5)

Solution

simplify

(8 j k^{5}) (5 j^{8} k^{5})

Solution

40 j^{9} k^{10}

Solution steps

(8 j k^{5}) (5 j^{8} k^{5})

Apply exponent rule:

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

j j^{8} = j^{1 + 8}

= 8 k^{5} \cdot 5 j^{1 + 8} k^{5}

Add the numbers:

1 + 8 = 9

= 8 k^{5} \cdot 5 j^{9} k^{5}

Apply exponent rule:

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

k^{5} k^{5} = k^{5 + 5}

= 8 \cdot 5 j^{9} k^{5 + 5}

Add the numbers:

5 + 5 = 10

= 8 \cdot 5 j^{9} k^{10}

Multiply the numbers:

8 \cdot 5 = 40

= 40 j^{9} k^{10}

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Frequently Asked Questions (FAQ)

What is (8jk^5)(5j^8k^5) ?
The solution to (8jk^5)(5j^8k^5) is 40j^9k^{10}