Rachel drew the two graphs below. graph r graph s rachel says that graph r has a greater constant of variation that graph s. which statement explains whether rachel is correct? a. rachel is correct; graph s is nonproportional. b. rachel is correct; graph r goes farther along the x-axis. c. rachel is not correct; both graphs go through the origin and have the same constant of variation. d. rachel is not correct; graph s is steeper than graph r.

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Ответ:

AJSkullcrusher

13.01.2021

Mathematics

$(4^{-2})^5=\dfrac{1}{4^{10}}$

Step-by-step explanation:

The given expression is : $(4^{-2})^5$

We need to simplify the above expression.

We know that, $x^{-a}=\dfrac{1}{x^a}$

$(4^{-2})^5=(\dfrac{1}{4^2})^5\\\\=\dfrac{1^5}{(4^2)^5}\\\\\because (x^b)^c=x^{b\times c}\\\\=\dfrac{1}{4^{10}}$

So, the simplified form of the given expression is $\dfrac{1}{4^{10}}$ . Hence, the correct option is (A).

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