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Mathematics 13 Online
OpenStudy (anonymous):

Simplify 5^-2

OpenStudy (anonymous):

|dw:1381270437311:dw|

OpenStudy (jdoe0001):

keep in mind that \(\bf \huge a^{-n} = \cfrac{1}{a^n}\)

OpenStudy (anonymous):

i dont get it

OpenStudy (jdoe0001):

change "a" for your number

OpenStudy (jdoe0001):

\(\huge 5^{-2}\implies \cfrac{1}{5^2}\)

OpenStudy (anonymous):

What do I do from there?

OpenStudy (anonymous):

The answer choices are a) 1/25 b) 1/10 c) 10 d) 25

OpenStudy (jdoe0001):

expand the denominator, what's \(\bf 5^2 \quad ?\)

OpenStudy (anonymous):

So it would be 10? I'm so lost lol.

OpenStudy (jdoe0001):

\(\bf 5^2 = 10?\\ 5 \times 2 = \square? \)

OpenStudy (anonymous):

5*2=10. so 10 would be my answer right?

OpenStudy (jdoe0001):

hmm, no... notice, the "2" is an exponent, no a factor

OpenStudy (anonymous):

Wait! so it's 5*5?

OpenStudy (anonymous):

and 5*5 makes my answer 25?

OpenStudy (jdoe0001):

\(\bf 5^2 \implies 5 \times 5\)

OpenStudy (jdoe0001):

yeap \(\huge 5^{-2}\implies \cfrac{1}{5^2} \implies \cfrac{1}{25}\)

OpenStudy (anonymous):

thank you :)

OpenStudy (jdoe0001):

yw

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