Evaluate Using Scientific Notation (7.810^3)(1.0*10^4)

$(7.8 \cdot 10^{3}) \cdot (1 \cdot 10^{4})$

Step 1

Multiply $7.8$ by $1$ .

$7.8 (10^{3} \cdot 10^{4})$

Step 2

Multiply $10^{3}$ by $10^{4}$ by adding the exponents.

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

$7.8 \cdot 10^{3 + 4}$

Add $3$ and $4$ .

$7.8 \cdot 10^{7}$

Evaluate Using Scientific Notation (7.8*10^3)*(1.0*10^4)