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Popular >

simplify 6^{12}*3^{12}

Solution

simplify

6^{12} \cdot 3^{12}

Solution

3^{24} \cdot 4096

+1

Decimal Notation

1.15683 E 15

Solution steps

6^{12} \cdot 3^{12}

Factor integer

6 = 3 \cdot 2

= (3 \cdot 2)^{12} \cdot 3^{12}

Apply exponent rule:

(ab)^{c} = a^{c} b^{c}

(3 \cdot 2)^{12} = 3^{12} \cdot 2^{12}

= 3^{12} \cdot 2^{12} \cdot 3^{12}

Apply exponent rule:

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

3^{12} \cdot 3^{12} = 3^{12 + 12}

= 2^{12} \cdot 3^{12 + 12}

Add the numbers:

12 + 12 = 24

= 2^{12} \cdot 3^{24}

2^{12} = 4096

= 3^{24} \cdot 4096

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Frequently Asked Questions (FAQ)

What is 6^{12}*3^{12} ?
The solution to 6^{12}*3^{12} is 3^{24}*4096