Basic Math Examples

$5.3 \cdot 10^{- 2} \cdot 7 \cdot 10^{- 5}$

Step 1

Multiply $5.3$ by $7$ .

$37.1 (10^{- 2} \cdot 10^{- 5})$

Step 2

Multiply $10^{- 2}$ by $10^{- 5}$ by adding the exponents.

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Step 2.1

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

$37.1 \cdot 10^{- 2 - 5}$

Step 2.2

Subtract $5$ from $- 2$ .

$37.1 \cdot 10^{- 7}$

Step 3

Move the decimal point in $37.1$ to the left by $1$ place and increase the power of $10^{- 7}$ by $1$ .

$3.71 \cdot 10^{- 6}$