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(32) 3 are Select One Select One Add Subtract Multiply Can you help me? Basically (3^2)^3

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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