Question

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

Answer 1

Answer:

7) $\dfrac{25c^2}{d^4}$

8) $4w^6r$

Step-by-step explanation:

You must use the laws of exponents.

7)

$(\dfrac{5c}{d^2})^2 =$

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

$= \dfrac{(5c)^2}{(d^2)^2}$

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.

$= \dfrac{5^2c^2}{d^4}$

$= \dfrac{25c^2}{d^4}$

8)

$\dfrac{-16w^7r^2}{-4wr} =$

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

$=\dfrac{-16}{-4}w^{7-1}r^{2-1}$

$= 4w^6r$