Simplify $$(3^2 )^3+(2^3 )^2$$​

Correct option is B

Given:

Expression: $$(3^2)^3 + (2^3)^2$$​

Formula Used:

Use the power of a power rule: $$(a^m)^n = a^{m \cdot n}$$​

Solution:

1. Simplify each term separately:

- For $$(3^2)^3$$​:

​$$(3^2)^3 = 3^{2 \times 3} = 3^6$$​

​$$3^6 = 729$$​

-$$For (2^3)^2 :$$​​

​$$(2^3)^2 = 2^{3 \times 2} = 2^6$$​

​$$2^6 = 64$$​

2. Substitute the simplified values back into the expression:

​$$3^6 + 2^6 = 729 + 64$$​

3. Add the values to get the final answer:

729 + 64 = 793

Therefore, the simplified value of the expression is 793