
Find the value of ${3^2} \times {3^4} \times {3^3}$=?
Answer
596.1k+ views
Hint: Here we have to just find out the values of powers raised to 3. And after putting the values, we can multiply further to get the required answer. It is a simple multiplication-based question.
Complete step-by-step solution -
According to question, we need to just find out the values and then multiply to get the answers as given below:
$ \Rightarrow {3^2} = 9$
$ \Rightarrow {3^4} = 81$
$ \Rightarrow {3^3} = 27$
Hence, we will get after multiplication,
$ \Rightarrow 9 \times 81 \times 27 = 19683$
Note: This can be also done by directly calculating the total power on 3 and then finding its value as given below, Here we know that if the base is the same then powers are to be added.
$ \Rightarrow {3^{2 + 4 + 3}} = {3^9}$$ = 19683$. Both methods will give the same result.
Complete step-by-step solution -
According to question, we need to just find out the values and then multiply to get the answers as given below:
$ \Rightarrow {3^2} = 9$
$ \Rightarrow {3^4} = 81$
$ \Rightarrow {3^3} = 27$
Hence, we will get after multiplication,
$ \Rightarrow 9 \times 81 \times 27 = 19683$
Note: This can be also done by directly calculating the total power on 3 and then finding its value as given below, Here we know that if the base is the same then powers are to be added.
$ \Rightarrow {3^{2 + 4 + 3}} = {3^9}$$ = 19683$. Both methods will give the same result.
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