3 years ago

Can someone explain to me how (1/3)^-2 = 9

Mathematics

1 answer:

cluponka [151]3 years ago

5 0

Answer:

(1/3)^-2 = 9

Step-by-step explanation:

The negative power in this equation tells you to flip the fraction and get rid of the negative symbol. This becomes 3^2 which is 9.

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PLEASE HURRY Write the equation as a single logarithm 3log(x-2)+2log(x+2)

zubka84 [21]

Answer:

$3\,log (x-2)+2\,log(x+2)$ can be written as the single logarithm:

$log((x-2)^3\,(x+2)^2)$

Step-by-step explanation:

Start by using in both terms of the expression the property of logarithm of a power that states:

$log(a^b)=b\,*\,log(a)$

so we recognize that the factor that multiplies each logarithmic expression, can be understood as the power of the argument of the function logarithm:

$3\,log(x-2)=log((x-2)^3)\\and\\2\,log(x+2)=log((x+2)^2)$

Then we use the property of logarithm of a product which states that:

$log(a*b)=log(a)+log(b)$

So now we recognize the expression:

$log((x-2)^3)\,+\,log((x+2)^2)$

as the logarithm of the product:

$log((x-2)^3\,(x+2)^2)$

which is finally a single logarithm as requested.

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3 years ago

3/4 of Anna's books are equal to 1/3 of Jake's books. Find the ratio of the number of Anna's books to the number of Jake's books

irga5000 [103]

3/4=1/3

cross multiply

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3 years ago

A recipe says to use 3 cups of flour to make 12 cookies. Andrew wants to make 288 cookies for a school fundraiser. How many cups

jeyben [28]

Answer:

Step-by-step explanation:

3 = 12 cookies

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3 years ago

Read 2 more answers

Guys please do the question at the bottom thanks.

Yakvenalex [24]

7^2 - 3(4-2)^0 - 2(7+3) + 3^2
= 49 - 3 - 20 + 9
= 35

hope it helps

P.S

any number to the 0 power is always equal 1

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3 years ago

Three gallons of gas cost $6.48. How much do 7 gallons cost?

prohojiy [21]

Answer:

$45.36

Step-by-step explanation:

you multiply 6.48 by 7 and your answer is $45.36

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3 years ago