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Mathematics 18 Online
OpenStudy (anonymous):

can somebody please help me

OpenStudy (anonymous):

Choose the correct simplification of the expression (-13g2h5k2)0.

OpenStudy (alyssa_xo):

is that raised to the 0?

OpenStudy (anonymous):

yeah

OpenStudy (alyssa_xo):

recall the property \(\huge a^0=1\) anything raised to the 0 is 1

OpenStudy (anonymous):

so would all the numbers be changed to 1

OpenStudy (alyssa_xo):

what does that mean? the whole expression is evaluated to 1

OpenStudy (anonymous):

oh oops then if the whole expression is evauluated to 1 would that mean everything except the 0 stays the same? i dont think they would change unless they were raised to the 2nd power of higher

OpenStudy (alyssa_xo):

uh, sorry if I'm being unclear I'll rewrite it. there's a property of exponents that staying \((ab)^0=a^0b^0=1*1=1\) and also \(\large (a^b)^c=a^{(b*c)}\) here, we have \( (-13g^2h^5k^2)^0=(-13)^0(g^2)^0(h^5)^0(k^2)^0\\=1*(g^0)(h^0)(k^0)\\=1*1*1*1\\=1\)

OpenStudy (anonymous):

oh ok i understand now, thank you for the help

OpenStudy (alyssa_xo):

any time~

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