Question

Simplify 4a³b² × 3a⁶b⁵​

Answer 1

`12a^(9)b^(7)`

Explanation:

`4a^(3) b^(2) * 3a^(6) b^(5)`

We'll use rule of exponents to simplify the expression:

`4^(1)a^(3)b^(2)* 3^(1)a^(6)b^(5)`

Use the commutative property of Multiplication:

`4^(1)* 3^(1)a^(3)a^(6)b^(2)b^(5)`

In order to multiply power of the same base, add their exponents:

`4^(1)* 3^(1)a^(3+6)b^(2+5)`

Add exponents 2 and 5:

`4^(1)* 3^(1)a^(9)b^(7)`

Multiply 4 times 3:

`12a^(9)b^(7)`

OAmalOHopeO

Answer 2

12a^9b^7

Explanation:

Multiplying variables of the same base, will require you to add the exponents.

4a^3b^2 * 3a^6b^5

4*3 = 12

a^3 * a^6 = a^9

b^2 * b^5 = b^7

12a^9b^7