Question

.
Describe how to find the product of the two terms 3x²y^5 and 4x³y^7

Answer 1

Answer:

12x^5y^12.

Step by step solved:

Multiply the coefficients: 3 x 4 = 12.

3x²y^5 * 4x³y^7 = 12x²x³y^5y^7

Multiply the variables with the same base (x) by adding their exponents: x² x x³ = x^(2+3) = x^5.

12x²x³y^5y^7 = 12x^5y^5y^7

Multiply the variables with the same base (y) by adding their exponents: y^5 x y^7 = y^(5+7) = y^12.

12x^5y^5y^7 = 12x^5y^12

Combine the results of steps 1-3 to get the product of the two terms:

12x^5y^12

Therefore, the product of 3x²y^5 and 4x³y^7 is 12x^5y^12.

Answer 2

see explanation

Explanation:

using the property of exponents

•
`a^(m)` ×
`a^(n)` =
`a^((m+n))`

given

3x²
`y^(5)` × 4x³
`y^(7)` ( separate like parts in the product )

= 3 × 4 × x² × x³ ×
`y^(5)` ×
`y^(7)`

= 12 ×
`x^((2+3))` ×
`y^((5+7))`

= 12
`x^(5)`
`y^(12)`