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Sagot :
The expression is:
[tex](3^2)^3[/tex]When you raise an exponent to another exponent, such as this case, you need to follow this rule:
[tex](x^m)^n=x^{m\cdot n}[/tex]The rule is to multiply the two exponents.
Using that rule with the expression we have:
[tex](3^2)^3=3^{2\cdot3}[/tex]Since 2*3=6:
[tex](3^2)^3=3^{2\cdot3}=3^6[/tex]The simplified expression is:
[tex]3^6[/tex]If what you need is the numerical value of the expression, the next step will be to multiply 3 by itself the number of times the exponent indicates, in this case, multiply 3 six times by itself:
[tex]3^6=3\times3\times3\times3\times3\times3[/tex]Solving the multiplications:
[tex]3^6=729[/tex]Answer:
[tex](3^2)^3=3^6=729[/tex]
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