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Exercise

$3^2\cdot3^5\cdot3\cdot3^{-3}$

Step-by-step Solution

1

The product of powers of the same base is equal to the base raised to the sum of the exponents: $a^m\cdot a^n=a^{m+n}$

$3^{\left(2+1\right)}\cdot 3^5\cdot 3^{-3}$
2

Add the values $2$ and $1$

$3^{3}\cdot 3^5\cdot 3^{-3}$
3

Calculate the power $3^{3}$

$27\cdot 243\cdot 3^{-3}$
4

Multiply $27$ times $243$

$6561\cdot 3^{-3}$

Final answer to the exercise

$6561\cdot 3^{-3}$

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