Respuesta :

Answer:

a^5b^9

Step-by-step explanation:

a^2b^4 * a^3b^5 = a^5b^9

The product of a²b⁴ and a³b⁵ is a⁵b⁹.

What are Arithmetic operations?

Arithmetic operations can also be specified by the subtract, divide, and multiply built-in functions.

The operator that perform arithmetic operation are called arithmetic operators .

Operators which let do basic mathematical calculations

+ Addition operation : Adds values on either side of the operator.

For example 4 + 2 = 6

- Subtraction operation : Subtracts right hand operand from left hand operand.

for example 4 -2 = 2

* Multiplication operation : Multiplies values on either side of the operator

For example 4*2 = 8

/ Division operation : Divides left hand operand by right hand operand

For example 4/2 = 2

Given the two expressions as :

⇒ a²b⁴ and a³b⁵

To determine the product of a²b⁴ and a³b⁵

⇒ (a²b⁴) × (a³b⁵)  

Rearrange the terms like wise,

⇒ a²a³b⁴b⁵

Adding to powers of same base,

⇒ a⁽²⁺³⁾b⁽⁴⁺⁵⁾

⇒ a⁵b⁹

Hence, the product of a²b⁴ and a³b⁵ is a⁵b⁹.

Learn more about Arithmetic operations here:

brainly.com/question/25834626

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