Question

Add/Subtract. Express your answer as a polynomial in standard formMultiply/Dividea) (5^3)(6^4)b) (6^7)(1/2^8)c) (1/2 ^5)(1/3 ^9)d) 14^5 7^2

Answer 1

`(5x^3)(6x^4)`

To multiply them, we will multiply the coefficient 5 and 6

5 * 6 = 30

for x we will add their power to multiply them

`(5x^3)(6x^4)=(5*6)(x^(3+4))=30x^7`
`(6x^7)((1)/(2)x^8)`

We will multiply 6 by 1/2

6 * 1/2 = 3

Then add the power of x

`(6x^7)((1)/(2)x^8)=(6*(1)/(2))(x^(7+8))=3x^(15)`