Evaluate Using Scientific Notation (4.710^4)(6.4*10^15)

$(4.7 \cdot 10^{4}) \cdot (6.4 \cdot 10^{15})$

Step 1

Multiply $4.7$ by $6.4$ .

$30.08 (10^{4} \cdot 10^{15})$

Step 2

Multiply $10^{4}$ by $10^{15}$ by adding the exponents.

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

$30.08 \cdot 10^{4 + 15}$

Add $4$ and $15$ .

$30.08 \cdot 10^{19}$

Step 3

Move the decimal point in $30.08$ to the left by $1$ place and increase the power of $10^{19}$ by $1$ .

$3.008 \cdot 10^{20}$

Evaluate Using Scientific Notation (4.7*10^4)*(6.4*10^15)