Basic Math Examples

$620 = 6.2 \cdot 10^{n}$

Step 1

Rewrite the equation as $6.2 \cdot 10^{n} = 620$ .

$6.2 \cdot 10^{n} = 620$

Step 2

Divide each term in $6.2 \cdot 10^{n} = 620$ by $6.2$ and simplify.

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Step 2.1

Divide each term in $6.2 \cdot 10^{n} = 620$ by $6.2$ .

$\frac{6.2 \cdot 10^{n}}{6.2} = \frac{620}{6.2}$

Step 2.2

Simplify the left side.

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Step 2.2.1

Cancel the common factor of $6.2$ .

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Step 2.2.1.1

Cancel the common factor.

$\frac{6.2 \cdot 10^{n}}{6.2} = \frac{620}{6.2}$

Step 2.2.1.2

Divide $10^{n}$ by $1$ .

$10^{n} = \frac{620}{6.2}$

Step 2.3

Simplify the right side.

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Step 2.3.1

Divide $620$ by $6.2$ .

$10^{n} = 100$

Step 3

Create equivalent expressions in the equation that all have equal bases.

$10^{n} = 10^{2}$

Step 4

Since the bases are the same, then two expressions are only equal if the exponents are also equal.

$n = 2$