Simplify (10^4)/(10^-1)

$\frac{10^{4}}{10^{- 1}}$

Move $10^{- 1}$ to the numerator using the negative exponent rule $\frac{1}{b^{- n}} = b^{n}$ .

$10^{4} \cdot 10$

Multiply $10^{4}$ by $10$ by adding the exponents.

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Multiply $10^{4}$ by $10$ .

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Raise $10$ to the power of $1$ .

$10^{4} \cdot 10^{1}$

Use the power rule $a^{m} a^{n} = a^{m + n}$ to combine exponents.

$10^{4 + 1}$

Add $4$ and $1$ .

$10^{5}$

Raise $10$ to the power of $5$ .

$100000$

Simplify (10^4)/(10^-1)

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