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Stells [14]
2 years ago
15

Using exponents, which expression is equivalent to a^8/a^2 a^-4 a^6 a^4 a^16

Mathematics
2 answers:
Reil [10]2 years ago
4 0
A^16 is the equivalent
dusya [7]2 years ago
3 0
a^16 porque esa es la respuesta
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1.
(2^{x} -2^{-x})^{2} = 4^{2} \\ \\2^{2x}-2*2^{x}*2^{-x} + 2^{-2x} =4^{2} \\ \\2^{2x}-2*2^{x-x} + 2^{-2x} =4^{2} \\ \\ 2^{2x}+ 2^{-2x} - 2=16 \\ \\ 2^{2x}+ 2^{-2x} = 18

\\ \\ 2.( 2^{x})^{3} - (2^{-x}^) ^{3}= (2^{x} -2^{-x})(2^{2x}+2^{x}*2^{-x}+2^{-2x})
\\ \\ ( 2^{x})^{3} - (2^{-x}^)^{3}=(2^{x} -2^{-x})(2^{2x}+2^{-2x}+2^{x}*2^{-x})
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\\ \\ ( 2^{x})^{3} - (2^{-x})^{3} =(4)((18)+1)= 76
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