Question

Can someone please help me with these 2 problems? I’m confused

Answer 1

7)
`(25c^2)/(d^4)`

8)
`4w^6r`

Explanation:

You must use the laws of exponents.

7)

`((5c)/(d^2))^2 =`

When you raise a fraction to an exponent, raise the numerator and the denominator to that exponent.

`= ((5c)^2)/((d^2)^2)`

When you raise a product to an exponent, raise each factor to that exponent.

When you raise an exponent to an exponent, multiply the exponents.

`= (5^2c^2)/(d^4)`

`= (25c^2)/(d^4)`

8)

`(-16w^7r^2)/(-4wr) =`

To divide powers with the same base, subtract the exponents. Remember that a plain variable, such as w is the same as w^1.

`=(-16)/(-4)w^(7-1)r^(2-1)`

`= 4w^6r`