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Popular >

simplify (12)^3(1/6)^3

Solution

simplify

(12)^{3} (\frac{1}{6})^{3}

Solution

8

Solution steps

1 2^{3} (\frac{1}{6})^{3}

1 2^{3} = 1728

= 1728 (\frac{1}{6})^{3}

Apply exponent rule:

(\frac{a}{b})^{c} = \frac{a ^{c}}{b ^{c}}

(\frac{1}{6})^{3} = \frac{1 ^{3}}{6 ^{3}}

= 1728 \cdot \frac{1 ^{3}}{6 ^{3}}

1^{3} = 1

= 1728 \cdot \frac{1}{6 ^{3}}

6^{3} = 216

= 1728 \cdot \frac{1}{216}

1728 \cdot \frac{1}{216} = 8

= 8

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Frequently Asked Questions (FAQ)

What is (12)^3(1/6)^3 ?
The solution to (12)^3(1/6)^3 is 8