Apply the properties of integer exponents to generate equivalent expressions 2 in parentheses 4 ^ 3 * 27 ^ -7 to the power of 0 with only positive exponents then solve this expression your answer will be a simplified fraction with no remaining exponents

Answer 1

To simplify the expression \( (4^3 \cdot 27^{-7})^0 \), we can start by applying the property of exponents which states that any non-zero number raised to the power of zero is equal to 1.

Step 1: Apply the zero exponent rule.

\[ (4^3 \cdot 27^{-7})^0 = 1 \]

Since the entire expression is raised to the power of 0, it simplifies to 1.

There is no need to convert or manipulate the terms \( 4^3 \) and \( 27^{-7} \) further, as raising to the zero power simplifies the entire quantity directly to 1.

Thus, the final answer is:

\[ \boxed{1} \]