Evaluate (4.110^6)(1.510^-3)

$(4.1 \cdot 10^{6}) (1.5 \cdot 10^{- 3})$

Step 1

Multiply $4.1$ by $1.5$ .

$6.15 (10^{6} \cdot 10^{- 3})$

Step 2

Multiply $10^{6}$ by $10^{- 3}$ by adding the exponents.

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

$6.15 \cdot 10^{6 - 3}$

Subtract $3$ from $6$ .

$6.15 \cdot 10^{3}$

Step 3

The result can be shown in multiple forms.

Scientific Notation:

$6.15 \cdot 10^{3}$

Expanded Form:

$6150$

Evaluate (4.1*10^6)(1.5*10^-3)