The expression 10^-3 translates to 1/(10^3). Since 10^3 equals 1000, the final simplified value is 1/1000 (or 0.001).

By the rules of negative exponents, moving the base to the denominator makes the exponent positive. Thus, a^-5 is rewritten as 1/a^5.

An exponent of -1 indicates the reciprocal of the base number. Therefore, 5^-1 is the reciprocal of 5, which is 1/5.

A negative exponent flips the position of the term in a fraction. Changing y^-4 to a positive exponent moves it to the denominator, becoming 1/y^4.

The negative exponent rule dictates that 3^-2 flips the base to the denominator, giving 1/(3^2). Since 3^2 is 9, the final answer is 1/9.

To rewrite a term with a negative exponent, place it in the denominator with a positive exponent. Therefore, x^-2 is equivalent to 1/x^2.

A negative exponent means taking the reciprocal of the base and making the exponent positive. So, 2^-3 becomes 1/(2^3), which evaluates to 1/8.

Any non-zero number raised to the power of zero is always equal to 1. The negative sign is inside the parentheses, meaning the entire base of -5 is raised to the zero power, resulting in 1.

Regardless of how large the base is, any non-zero number raised to the zero power equals 1. Therefore, 100^0 evaluates to 1.

Because the entire expression (2xy) is enclosed in parentheses and raised to the power of zero, the zero exponent rule applies to the whole term, resulting in 1.