The simplified form of the given expression is 1/9. Therefore, option B is the correct answer.
The given expression is [tex](\frac{(\frac{1}{3})^{7}}{(\frac{1}{3})^{6} } )^{2}[/tex].
We need to evaluate the given expression.
What are the laws of exponents?
Laws of exponents:
- When multiplying like bases, keep the base the same and add the exponents.
- When raising a base with power to another power, keep the base the same and multiply the exponents.
- When dividing like bases, keep the base the same and subtract the denominator exponent from the numerator exponent.
Now, [tex](\frac{(\frac{1}{3})^{7}}{(\frac{1}{3})^{6} } )^{2}=((\frac{1}{3})^{7-6})^{2}[/tex] (Because [tex]\frac{a^{m} }{a^{n} } =a^{m-n}[/tex])
[tex]=(\frac{1}{3})^{2}[/tex]
=1/9
The simplified form of the given expression is 1/9. Therefore, option B is the correct answer.
To learn more about the laws of exponents visit:
https://brainly.com/question/568161.
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