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OpenStudy (anonymous):
i^11√-121
Question options:
11
-11
11i
-11i
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OpenStudy (anonymous):
Simplify
OpenStudy (jdoe0001):
bear in mind that \(11^2 = ?\)
OpenStudy (anonymous):
121
OpenStudy (jdoe0001):
yeap thus \(\bf i^{11}\sqrt{-121}\qquad {\color{brown}{ 11^2\to 121 }}\qquad i^{11}\sqrt{-11^2}\implies i^{11}\sqrt{11^2\cdot -1}
\\ \quad \\
i^{11}\sqrt{11^2}\cdot \sqrt{-1}\implies i^{11}\cdot 11\cdot i\implies ?\)
OpenStudy (anonymous):
so its -11?
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OpenStudy (jdoe0001):
well... .what would the above give you though.... keep in mind that \(\bf i \implies i^1\)
OpenStudy (jdoe0001):
\(\bf i^{11}\sqrt{11^2}\cdot \sqrt{-1}\implies i^{11}\cdot 11\cdot i^1\implies ?\)
OpenStudy (anonymous):
I really do not know
OpenStudy (anonymous):
can you give me a hint
OpenStudy (jdoe0001):
well.. recall your exponents rules... thus \(\bf i^{11} \cdot i^1 \implies ?\)
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OpenStudy (anonymous):
11i
OpenStudy (jdoe0001):
well... what would this \(\bf i^{11}\cdot i^1\implies ?\) give you though?
OpenStudy (anonymous):
1
OpenStudy (jdoe0001):
wel.... what's the exponent of "i" though? when multiplied
OpenStudy (anonymous):
i^2
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OpenStudy (anonymous):
x
OpenStudy (jdoe0001):
well... you have an 11 and a 1 exponent
recall your exponent rules....same base, different exponents
OpenStudy (anonymous):
Can i please know the answer
OpenStudy (anonymous):
i am really confused
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OpenStudy (anonymous):
@midhun.madhu1987
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