Question

((3^(5))^(2))/(3^(-2))

Answer 1

Solving the expression: $\frac{((3^5)^2)}{(3^{-2})}$ we get 531441.

Step-by-step explanation:

We need to solve the expression: $\frac{((3^5)^2)}{(3^{-2})}$

Solving:

$\frac{((3^5)^2)}{(3^{-2})}$

Applying exponent rule: $(a^b)^c=a^{bc}$

$=\frac{3^{10}}{3^{-2}}$

Applying another exponent rule: $\frac{x^a}{x^b}=x^{a-b}$

$=3^{10-(-2)}\\=3^{10+2}\\=3^{12}\\=531441$

So, solving the expression: $\frac{((3^5)^2)}{(3^{-2})}$ we get 531441.

Keywords: Solving Exponents  

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