Question

Multiply 3x8y9.2x5y8

Answer 1

`6x^(13)y^(17)`

Explanation:

We need to multiply

`3x^8y^9.2x^5y^8`

We know the exponent rule of multiplication:

`x^a y^b . x^cy^d = x^(a+c)y^(b+d)`

If the bases are same the powers are added.

So,

`=3*2 *x^8*x^5*y^9*y^8\\=^(8+5)y^(9+8)\\=6x^(13)y^(17)`

So, the answer is:

`6x^(13)y^(17)`