From the exponent's formula, the simplified form of the given question [tex]3^{2} \times 3^{4} \div 3^{2}[/tex] is 243.
What is the exponent's formula?
Exponents formulas help solve exponents represented by [tex]\rm x^{n}[/tex] multiplying by itself n times. here, x is called the base and n is the exponent or power. [tex]\rm x^{n}[/tex] is read as x raised to the power of n.
The formula required
[tex]\rm a^{x} \times a^{y} = a^{x+y}[/tex]
[tex]\rm a^{x} \div a^{y} = a^{x-y}[/tex]
So, by applying the above exponent's formulas
[tex]3^{3} \times 3^{4} \div 3^{2}\\= 3^{3+4} \div 3^{2}\\= 3^{7} \div 3^{2}\\= 3^{7-2} \\= 3^{5} \\= 243[/tex]
Hence, the simplified form of the given question [tex]3^{2} \times 3^{4} \div 3^{2}[/tex] is 243.
Learn more about the exponent's formula here:
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