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What is the product of (5^1) (5^-3)​

2 Answers

1 vote

Answer:

1/625 0r 0.0016 is the product of the given expression.

Explanation:

User Renaud Pradenc
by
8.1k points
2 votes

Answer:

1/625 0r 0.0016 is the product of the given expression.

Explanation:

Here, The given expression, 5^{-1} \times 5^-3

We can write, 5^-1 \times 5^-3=\frac{5^{-1}}{5^3} ( because we can write a^m=1/a^{-m})

⇒5^-1 \times 5^-3=\frac{1}{5^1\times 5^3}

⇒5^-1 \times 5^-3=\frac{1}{5^{1+3}} ( because a^m\times a^n=a^{m+n})

⇒5^-1 \times 5^-3=\frac{1}{5^{4}}

⇒5^-1 \times 5^-3=\frac{1}{625}=0.0016

User Akeya
by
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