Evaluate Using Scientific Notation (9.510^1)(3.0*10^4)

$(9.5 \cdot 10^{1}) \cdot (3 \cdot 10^{4})$

Step 1

Multiply $9.5$ by $3$ .

$28.5 (10^{1} \cdot 10^{4})$

Step 2

Multiply $10^{1}$ by $10^{4}$ by adding the exponents.

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

$28.5 \cdot 10^{1 + 4}$

Add $1$ and $4$ .

$28.5 \cdot 10^{5}$

Step 3

Move the decimal point in $28.5$ to the left by $1$ place and increase the power of $10^{5}$ by $1$ .

$2.85 \cdot 10^{6}$

Evaluate Using Scientific Notation (9.5*10^1)*(3.0*10^4)