Evaluate Using Scientific Notation (3.010^3)(5.0*10^1)

$(3 \cdot 10^{3}) \cdot (5 \cdot 10^{1})$

Step 1

Multiply $3$ by $5$ .

$15 (10^{3} \cdot 10^{1})$

Step 2

Multiply $10^{3}$ by $10^{1}$ by adding the exponents.

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

$15 \cdot 10^{3 + 1}$

Add $3$ and $1$ .

$15 \cdot 10^{4}$

Step 3

Move the decimal point in $15$ to the left by $1$ place and increase the power of $10^{4}$ by $1$ .

$1.5 \cdot 10^{5}$

Evaluate Using Scientific Notation (3.0*10^3)*(5.0*10^1)