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Popular >

simplify (6a^4)(6a^2)

Solution

simplify

(6 a^{4}) (6 a^{2})

Solution

36 a^{6}

Solution steps

(6 a^{4}) (6 a^{2})

Apply exponent rule:

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

6 \cdot 6 = 6^{1 + 1}

= a^{4} \cdot 6^{1 + 1} a^{2}

Add the numbers:

1 + 1 = 2

= a^{4} \cdot 6^{2} a^{2}

Apply exponent rule:

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

a^{4} a^{2} = a^{4 + 2}

= 6^{2} a^{4 + 2}

Add the numbers:

4 + 2 = 6

= 6^{2} a^{6}

6^{2} = 36

= 36 a^{6}

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Frequently Asked Questions (FAQ)

What is (6a^4)(6a^2) ?
The solution to (6a^4)(6a^2) is 36a^6