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Popular >

simplify (8b^6n^4)(bn^6)

Solution

simplify

(8 b^{6} n^{4}) (b n^{6})

Solution

8 n^{10} b^{7}

Solution steps

(8 b^{6} n^{4}) (b n^{6})

Apply exponent rule:

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

n^{4} n^{6} = n^{4 + 6}

= 8 b^{6} b n^{4 + 6}

Add the numbers:

4 + 6 = 10

= 8 b^{6} b n^{10}

Apply exponent rule:

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

b^{6} b = b^{6 + 1}

= 8 b^{6 + 1} n^{10}

Add the numbers:

6 + 1 = 7

= 8 b^{7} n^{10}

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Frequently Asked Questions (FAQ)

What is (8b^6n^4)(bn^6) ?
The solution to (8b^6n^4)(bn^6) is 8n^{10}b^7