Question

Simplify the following exponential expressions:

1. 6y^3 x 5y^6


2. 8x^5 x 3x^2


3. 7m^4 x 3m x 5m^2


4. 10d^7 x 5d^0

Answer 1

30y 1# 24x^7 2# 105m^7 3#.

Answer 2

See below

Explanation:

`1. \: 6 {y}^(3) * 5 {y}^(6) \\ = 6 * 5 * {y}^(3 + 6) \\ = 30 {y}^(9) \\ \\ 2. \: 8 {x}^(5) * 3 {x}^(2) \\ = 8 * 3 * {x}^(5 + 2) \\ = 24 {x}^(7) \\ \\ 3. \: 7m^4 * 3m * 5m^2 \\ = 105 {m}^(4 + 1 + 2) \\ = 105 {m}^(7) \\ \\ 4. \: 10d^7 * 5d^0 \\ = 10 * 5 * {d}^(7 + 0) \\ = 50 {d}^(7)`