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

Answer:

See below

Step-by-step explanation:

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

Answer 2

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