5 Problems - SHOW ALL WORK!
1 . Given the following list of expressions: -2^3, -2^-2, and (-3)^3
a. Evaluate each expression.
b. Order the expressions from least to greatest
2 . (2^2)(2^8)=
3. (2x^3)^4
4 . (7^2y^3z^4)^2
5 . 3m(m/8)^4
1a. Evaluating each expression:
-2^3 = -8
-2^-2 = -1/4
(-3)^3 = -27
b. Ordering the expressions from least to greatest:
-27, -8, -1/4
2. (2^2)(2^8) = 2^(2+8) = 2^10 = 1024
3. (2x^3)^4 = 2^4 * (x^3)^4 = 16x^12
4. (7^2y^3z^4)^2 = (7^2)^2 * (y^3)^2 * (z^4)^2 = 49^2 * y^6 * z^8 = 2401y^6z^8
5. 3m(m/8)^4 = 3m * (m/8)^4 = 3m * m^4/8^4 = 3m * m^4/4096 = (3/4096)m^5