Question

Apply the Properties of Integer Exponents to generate equivalent expressions to (14^3⋅27^−7)^0/34
with only positive exponents, then solve the expression. Your answer will be a simplified fraction with no remaining exponents.(1 point)
(143⋅27−7)034=

Remaining Attempts : 3

Answer 1

To simplify the expression \((14^3 \cdot 27^{-7})^0 / 34\), we will first apply the properties of exponents.

### Step 1: Simplify the expression
According to the exponent property, any non-zero number raised to the power of zero is equal to 1. Therefore, we have:

\[
(14^3 \cdot 27^{-7})^0 = 1
\]

### Step 2: Substitute into the expression
Now we can substitute this back into the expression:

\[
1 / 34
\]

### Step 3: Final Result
Thus, the expression simplifies to:

\[
\frac{1}{34}
\]

This is a simplified fraction with no remaining exponents. Therefore, the final answer is:

\[
\frac{1}{34}
\]