Question

Helpppppppppppppppppp

Answer 1

Option C:

`\left(7 x^(2) y^(3)\right)\left(3 x^(5) y^(8)\right)=21 x^(7) y^(11)`

Solution:

Given expression is
`\left(7 x^(2) y^(3)\right)\left(3 x^(5) y^(8)\right)`.

To find the product of the above expression.

`\left(7 x^(2) y^(3)\right)\left(3 x^(5) y^(8)\right)`

First multiply the numerical coefficients.

`\left(7 x^(2) y^(3)\right)\left(3 x^(5) y^(8)\right)=21 x^(2) y^(3) x^(5) y^(8)`

Arrange the terms with same base.

`=21 x^(2) x^(5) y^(3) y^(8)`

Using exponent rule:
`a^m \cdot a^n = a^(m+n)`

`=21 x^(2+5) y^(3+8)`

`=21 x^(7) y^(11)`

`\left(7 x^(2) y^(3)\right)\left(3 x^(5) y^(8)\right)=21 x^(7) y^(11)`

Hence option C is the correct answer.