Evaluate Using Scientific Notation (510^4)(310^2)

$(5 \cdot 10^{4}) (3 \cdot 10^{2})$

Step 1

Multiply $5$ by $3$ .

$15 (10^{4} \cdot 10^{2})$

Step 2

Multiply $10^{4}$ by $10^{2}$ by adding the exponents.

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

$15 \cdot 10^{4 + 2}$

Add $4$ and $2$ .

$15 \cdot 10^{6}$

Step 3

Move the decimal point in $15$ to the left by $1$ place and increase the power of $10^{6}$ by $1$ .

$1.5 \cdot 10^{7}$

Evaluate Using Scientific Notation (5*10^4)(3*10^2)