Answer:
7) [tex] \dfrac{25c^2}{d^4} [/tex]
8) [tex] 4w^6r [/tex]
Step-by-step explanation:
You must use the laws of exponents.
7)
[tex] (\dfrac{5c}{d^2})^2 = [/tex]
When you raise a fraction to an exponent, raise the numerator and the denominator to that exponent.
[tex] = \dfrac{(5c)^2}{(d^2)^2} [/tex]
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.
[tex] = \dfrac{5^2c^2}{d^4} [/tex]
[tex] = \dfrac{25c^2}{d^4} [/tex]
8)
[tex] \dfrac{-16w^7r^2}{-4wr} = [/tex]
To divide powers with the same base, subtract the exponents. Remember that a plain variable, such as w is the same as w^1.
[tex] =\dfrac{-16}{-4}w^{7-1}r^{2-1} [/tex]
[tex] = 4w^6r [/tex]
