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

Can someone please help me with these 2 problems? I’m confused-example-1

1 Answer

3 votes

Answer:

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

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