danisnotonfire
Answered

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 PLEASE HELP!!!!!! Which expressions are equivalent to 1/81 ? Check all that apply.


8^ -1

9^ -2

9^ 8/9^4

9^8/9^10

9^ -6 · 9^3

9^5 · 9^ -7

Sagot :

AlpenGlow

Answer:

[tex]9^{-2}\\\\\dfrac{9^{8}}{9^{10}}\\\\9^{5}\times9^{-7}[/tex]

Step-by-step explanation:

Let's evaluate the answers.

Think of numbers with negative exponents as numbers on the wrong side of the fraction. So if you have a negative exponent, you put it at the bottom of the fraction or up and then you remove the negative sign.

So let's take the first answer:

[tex]9^{-2} \:is\:actually\:equal\:to\: \dfrac{1}{9^{2}}\\\\\dfrac{1}{9^{2}} = \dfrac{1}{81}}[/tex]

Now the next one, according to the law of exponents, when dividing we subtract the exponents. (But this only applies if the coefficients are the same!)

[tex]\dfrac{m^{x}}{m^{y}} = m^{x-y}[/tex]

Applying this rule to the second answer:

[tex]\dfrac{9^{8}}{9^{10}} = 9^{8-10} = 9^{-2}=\dfrac{1}{9^{2}} = \dfrac{1}{81}[/tex]

The third one:

[tex]9^5\times9^{-7} = \dfrac{9^5}{9^{7}} = 9^{5-7} = 9^{-2} = \dfrac{1}{9^2} = \dfrac{1}{81}[/tex]

If you apply the same rules to the rest of the choices, you wil find that they are not equivalent to 1/81.

isaiahrod

Answer:

BDF

Step-by-step explanation:

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