Algebra Examples

$\frac{I}{10^{- 12}} = 10^{14.8}$

Step 1

Multiply both sides of the equation by $10^{- 12}$ .

$10^{- 12} \frac{I}{10^{- 12}} = 10^{- 12} \cdot 10^{14.8}$

Step 2

Simplify both sides of the equation.

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Simplify the left side.

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Cancel the common factor of $10^{- 12}$ .

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Cancel the common factor.

$10^{- 12} \frac{I}{10^{- 12}} = 10^{- 12} \cdot 10^{14.8}$

Rewrite the expression.

$I = 10^{- 12} \cdot 10^{14.8}$

Simplify the right side.

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Simplify $10^{- 12} \cdot 10^{14.8}$ .

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Multiply $10^{- 12}$ by $10^{14.8}$ by adding the exponents.

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

$I = 10^{- 12 + 14.8}$

Add $- 12$ and $14.8$ .

$I = 10^{2.8}$

Raise $10$ to the power of $2.8$ .

$I = 630.95734448$