Question

Simplify fully
8c⁴d⁵ ÷ 2c³d³

Answer 1

8c⁴d⁵ ÷ 2c³d³ = 4cd²

Step-by-step explanation:

Given problem,

→ 8c⁴d⁵ ÷ 2c³d³

Simplifying the given problem,

→ 8c⁴d⁵ ÷ 2c³d³

→ (8c⁴d⁵)/(2c³d³)

→ (8c⁴ ÷ 2c³) × (d⁵ ÷ d³)

→ [ 4cd² ]

Hence, the answer is 4cd².

Answer 2

4cd²

Explanation:

Given expression:

`(8c^4d^5)/(2c^3d^3)`

Separate like terms:

`\implies (8)/(2) \cdot (c^4)/(c^3) \cdot (d^5)/(d^3)`

Divide the numbers:

`\implies 4\cdot (c^4)/(c^3) \cdot (d^5)/(d^3)`

`\textsf{Apply exponent rule} \quad (a^b)/(a^c)=a^(b-c):`

`\implies 4\cdot c^(4-3) \cdot d^(5-3)`

`\implies 4\cdot c^(1) \cdot d^(2)`

`\implies 4cd^(2)`

Therefore, the fully simplified expression is:

`\large\boxed{4cd^2}`