left(frac{3^{6}}{3^{2}}right)^{frac{1}{2}}=

Question

Accepted Answer

Step:1 ：Simplify the division inside the parentheses. According to the rule of exponents, when you divide two numbers with the same base, you subtract the exponents. So, (frac{3^{6}}{3^{2}}) simplifies to (3^{6-2}), which is (3^{4}).Step:2 ：Take the square root of (3^{4}). According to the rule of exponents, the square root of a number is the same as raising that number to the power of 1/2. So, (sqrt{3^{4}}) is the same as (3^{4*(1/2)}), which is (3^{2}).Step:3 ：Final Answer: (boxed{9})

Answer

Step: 1 ：Simplify the division inside the parentheses. According to the rule of exponents, when you divide two numbers with the same base, you subtract the exponents. So, (frac{3^{6}}{3^{2}}) simplifies to (3^{6-2}), which is (3^{4}).Step: 2 ：Take the square root of (3^{4}). According to the rule of exponents, the square root of a number is the same as raising that number to the power of 1/2. So, (sqrt{3^{4}}) is the same as (3^{4*(1/2)}), which is (3^{2}).Step: 3 ：Final Answer: (boxed{9})

$\left(\frac{3^{6}}{3^{2}}\right)^{\frac{1}{2}}=$

Answer

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