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Let’s check out your problem:

Find the value of diamond : {:[(3^(7))/(3^(@))=3^(5)],[0=]:}

Find the value of ⋄ \diamond :\newline373∘=350= \begin{array}{l} \frac{3^{7}}{3^{\circ}}=3^{5} \\ 0= \end{array}

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Full solution

Q. Find the value of ⋄ \diamond :\newline373∘=350= \begin{array}{l} \frac{3^{7}}{3^{\circ}}=3^{5} \\ 0= \end{array}
  1. Write Equation: Write down the given equation.\newline(37)/(3@)=35(3^7)/(3^@) = 3^5
  2. Simplify Left Side: Use the property of exponents that states aman=am−n\frac{a^m}{a^n} = a^{m-n} to simplify the left side of the equation.37−α=353^{7-\alpha} = 3^5
  3. Set Exponents Equal: Since the bases are the same and the equation is an equality, the exponents must be equal.\newline7−@=57 - @ = 5
  4. Solve for @ @ : Solve for @ @ by isolating it on one side of the equation.7−@=5 7 - @ = 5 7−5=@ 7 - 5 = @ 2=@ 2 = @

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