What is the result of raising (3^2) to the power of 4?

What is the result of raising (3^2) to the power of 4?

• A. 3^6
• B. 3^8
• C. 3^4
• D. 3^10

Answer: (B)

To calculate the result of raising \( (3^2) \) to the power of \( 4 \), you can apply the power of a power property of exponents, which states that \( (a^m)^n = a^{m \cdot n} \). In this case, you have \( (3^2)^4 \). According to the property, you multiply the exponents: \[ (3^2)^4 = 3^{2 \cdot 4} = 3^8 \] Thus, the expression simplifies to \( 3^8 \). This property is fundamental in working with exponents, allowing for the simplification of expressions involving multiple layers of exponents.

To calculate the result of raising ( (3^2) ) to the power of ( 4 ), you can apply the power of a power property of exponents, which states that ( (a^m)^n = a^{m \cdot n} ).

In this case, you have ( (3^2)^4 ). According to the property, you multiply the exponents:

[

(3^2)^4 = 3^{2 \cdot 4} = 3^8

]

Thus, the expression simplifies to ( 3^8 ). This property is fundamental in working with exponents, allowing for the simplification of expressions involving multiple layers of exponents.