evaluate the following expressions
3^-4
2^-3
To evaluate the expressions, we will use the rules of exponentiation.
1) To evaluate 3^-4:
Since the exponent is negative, we can rewrite it as the reciprocal of the positive exponent.
3^-4 = 1 / 3^4 = 1 / (3 * 3 * 3 * 3) = 1 / 81 ≈ 0.0123
2) To evaluate 2^-3:
Again, we rewrite the exponent as a positive exponent by taking the reciprocal.
2^-3 = 1 / 2^3 = 1 / (2 * 2 * 2) = 1 / 8 = 0.125