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Mathematics
Chandler Peterson
16 March, 12:31
What is the product of (5^1) (5^-3)
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Camilla Bradshaw
16 March, 15:09
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1/625 0r 0.0016 is the product of the given expression.
Step-by-step 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
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