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Answered

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Josh examines the expression 5^-1/5^1.

He claims that the expression has a value equal to 1 because it simplifies to 5^0, and any integer to the 0 power is 1.

Is Josh correct? Explain why or why not.

Sagot :

VectorFundament120

Answer:

Incorrect

Step-by-step explanation:

Law of Exponent:

[tex] \displaystyle \large{ \frac{ {a}^{m} }{ {a}^{n} } = {a}^{m - n} }[/tex]

Substitute a = 5, m = -1 and n = 1.

[tex] \displaystyle \large{ \frac{ {5}^{ - 1} }{ {5}^{1} } = {5}^{ - 1 - 1} } \\ \displaystyle \large{ \frac{ {5}^{ - 1} }{ {5}^{1} } = {5}^{ - 2} }[/tex]

Therefore, Josh is wrong because Josh misused the law of exponent. What Josh used was a^m × a^n = a^{m+n}.

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