A. 1/4×1/4
B. (4)(−2)
C. 1/2×1/2×1/2×1/2
D.(−2)(−2)(−2)(−2)
OpenStudy (cheesecakekitten):
OOPS!
OpenStudy (cheesecakekitten):
hold on a sec
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OpenStudy (cheesecakekitten):
A. 1/4 x 1/4
B. (4) (-2)
C. 1/2 x 1/2 x 1/2 x 1/2
D. (-2)(-2)(-2)(-2)
OpenStudy (cheesecakekitten):
there
OpenStudy (displayerror):
\[4^{-2} = \left( \frac{1}{4} \right)^2\]
So which choice represents this?
OpenStudy (cheesecakekitten):
A?
OpenStudy (cheesecakekitten):
?
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OpenStudy (cheesecakekitten):
hello?
OpenStudy (displayerror):
Yep! When you have a number raised to a negative exponent, just flip the number and make the exponent positive. Here are some examples:
\[\left( \frac{1}{5} \right)^{-3} = 5^3\]
\[\left( \frac{a}{b} \right)^{-c} = \left( \frac{b}{a} \right)^c\]
OpenStudy (anonymous):
Correct! :D
OpenStudy (cheesecakekitten):
yay!
OpenStudy (cheesecakekitten):
thnx
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