Question

evaluate [(1/3)^6÷(1/3)^5]÷1/3​

Answer 1

refer the attachment hope its help u

ans is 1

Answer 2

To evaluate : $[(\frac{1}{3}) ^{6} \div (\frac{1}{3} )^{5} ]\div\frac{1}{3}$

Solution:-

• To solve the above expression we will follow law of exponents .

• Quotient law : this law states that while dividing expression if base are same then their powers are subtracted keeping the base same .i.e. $\frac{a^{m}}{a^{n}}=a^{m-n}$

• According to above rule we will solve .  

     $[(\frac{1}{3}) ^{6} \div (\frac{1}{3} )^{5} ]\div\frac{1}{3}$  

      $= (\frac{1}{3} )^{6-5} \div \frac{1}{3} \\= (\frac{1}{3} )^{1} \div \frac{1}{3} \\= (\frac{1}{3})^{1-1} \\= (\frac{1}{3})^{0} \\= 1$

• Zero exponent law : this law states that any number raised to 0 is 1 . i.e. $a^{0}=1$

• Therefore, $(\frac{1}{3}) ^{0}=1$ .

Hence, value of given expression is $1$ .