9514 1404 393
Answer:
B 1/(2^70·4^14)
Step-by-step explanation:
The applicable rules of exponents are ...
(a^b)^c = a^(bc)
a^-b = 1/a^b
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[tex]\left(\dfrac{2^{-10}}{4^2}\right)^7=\dfrac{2^{-10\cdot7}}{4^{2\cdot7}}=\dfrac{2^{-70}}{4^{14}}=\boxed{\dfrac{1}{2^{70}\cdot4^{14}}}[/tex]
