Question

Use the Properties of Integer Exponents to generate equivalent expressions with only positive exponents. Your answer will be simplified fraction.

(14^3 * 27^-7)^0 / 3^4

-1/12
or
-81
or
1/81
or
12

Answer 1

[AI-generated answer — Bot GPT 3.5]

Using the properties of integer exponents, we can simplify the expression as follows:

(14^3 * 27^-7)^0 / 3^4

Since any number (except zero) raised to the power of zero equals 1, we can simplify the first part of the expression as:

(14^3 * 27^-7)^0 = 1

Therefore, our expression simplifies to:

1 / 3^4

Since 3 raised to the power of 4 equals 81, the expression can be further simplified as:

1 / 81

Hence, the equivalent expression with only positive exponents is 1/81.