Question

If (10) to the power -x = 1/3 then (10) to the power 3x is​

Answer 1

Answer:

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Step-by-step explanation:

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Answer 2

Step-by-step explanation:

$give n \: that {10}^{ - x} = \frac{1}{3}$

$\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \frac{ 1}{ {10}^{x} } = \frac{1}{3}$

$Multiplying \: both \: sides \: with \frac{1}{ {10}^{3} } ,$

$\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \frac{1}{ {10}^{3x} } = \frac{1}{ 3 \times {10}^{3} }$

$On \: taking \: reciprocal,$

$\: \: \: \: \: \: \: \: \: \: {10}^{3x} = 3000$

$Thus, \: ten \: to \: the \: power \: 3x \: is \: 3000$