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Mathematics 9 Online
eviant:

PLS HELP!!!

eviant:

1 attachment
eviant:

@Vocaloid

Vocaloid:

you just need to plug in x = 3 and y = -1

Vocaloid:

1/(3^(-2) * (3)^(-4) * (-1)^2) = ?

eviant:

-0.001

Vocaloid:

let's start with the denominator, one factor at a time 3^(-2) = ?

eviant:

0.01,that's what the calculator says, or is it -9?

Vocaloid:

as a fraction, it is 1/9

eviant:

*0.1

Vocaloid:

let's stay in fractions for now (3)^(-4) = ?

eviant:

0.01

Vocaloid:

\(\color{#0cbb34}{\text{Originally Posted by}}\) @Vocaloid let's stay in fractions for now \(\color{#0cbb34}{\text{End of Quote}}\)

Vocaloid:

hint: (3)^(-4) = 1/(3^4), which, as a fraction, = ?

eviant:

so 1/100

Vocaloid:

what is 3^4 = ?

eviant:

81

Vocaloid:

good, so( 3)^(-4) = 1/(3^4) = 1/81 so putting everything back together 1/(1/81 * 1/9) = ?

eviant:

1/729

Vocaloid:

almost 1/81 * 1/9 gives us 1/729 so we end up with 1/(1/729) = 729 = your sol'n

Vocaloid:

to divide fractions, we flip the second fraction and change the division sign to a multiplication sign so 1/(1/729) = 1 * (729/1) = 729

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