application of the laws of exponent

Question

show different ways of simplifying each of the following expression. answer the question that follow.
1. 2^5 * 2^4
2. x^4 * x^7
3. (3^2)^3
4. (m^4)^5
5. (5^3 * 2^2)^2
6. (a^4 * b^2)^5
7. (3x^5)^3
8. 7^4/7^2
9. x^5/x^8
10. 12m^9/4m^5
11. (3/4)^2
12. (x/y)^5
13. (2x^5/5y^4)^3
14. (12m^4/6)^3
15. (3/9a^3)^4
B.
1. how did you simplify each expression above?
2. what do you hink would make it easy, to simplify the given expression?why?

Answer 1

When multiplying terms, you add the exponents. when dividing terms, you subtract exponents. With exponents of exponents, you multiply. For example,

3. (3^2)^3 = 3^2 * 3^2 * 3^2 = 3^6