Question

Match the expression to its corresponding simplified version.

Answer 1

The required match of expressions are given below.

$(8^3)^2 = 8^6\\(8^2)^{-3} = 1/8^6\\((8^2)^3)^2= 8^{12}\\((8^{-2})^3)^2 = 1/8^{12}$.

What is simplification?

The process in mathematics to useand interpret the function to make the function simple or more understandable is called simplifying and the process is called simplification.

In the question expression of exponents is given with base 8, we have to match the given expression to the correct simplified expression,

1)
$(8^3)^2 = 8^{3*2}=8^6$

2)
$(8^2)^{-3} = > 8^{2*-3}= > 8^{-6}= > 1/8^6$

3)
$((8^2)^3)^2 = > 8^{2*3*2} = 8^{12}$

4)
$((8^{-2})^3)^2 = > 8^{-2*2*3} = > 8^{-12} = 1/8^{12}$

Thus, the required match of expressions are given above.

Learn more about simplification here: brainly.com/question/12501526

#SPJ1