Mathematics: What is the product of (5^-1)(5^-3) 1/625 1/25 25 125

What is the product of (5^-1)(5^-3) 1/625 1/25 25 - id515316251252513058953, kimlyn58p0wyn0

nbaarubyy

06.01.2022

The answer is 1/625
Did you need an explanation? :)

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BlehBlah1441

06.01.2022

$\frac{1}{625}$

Step-by-step explanation:

The given expression is $(5^{-1})(5^{-3})$

Apply the product law of exponent: $x^a\cdot x^b=x^{a+b}$

$(5^{-1})(5^{-3})\\\\=5^{-1+(-3)}\\\\=5^{-4}$

Now, apply the exponent rule: $x^{-a}=\frac{1}{x^a}$

$5^{-4}\\\\=\frac{1}{5^4}\\\\=\frac{1}{625}$

Therefore, the product of the given expression is $\frac{1}{625}$

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nikki319

13.08.2021

Um this is tricky question

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