Algebra Examples

$(- 3.1 \cdot 10^{- 7}) (- 4.7 \cdot 10^{- 15})$

Step 1

Multiply $- 3.1$ by $- 4.7$ .

$14.57 (10^{- 7} \cdot 10^{- 15})$

Step 2

Multiply $10^{- 7}$ by $10^{- 15}$ 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.

$14.57 \cdot 10^{- 7 - 15}$

Step 2.2

Subtract $15$ from $- 7$ .

$14.57 \cdot 10^{- 22}$

Step 3

Move the decimal point in $14.57$ to the left by $1$ place and increase the power of $10^{- 22}$ by $1$ .

$1.457 \cdot 10^{- 21}$