Evaluate Using Scientific Notation (4.810^4)(610^6)

$(4.8 \cdot 10^{4}) (6 \cdot 10^{6})$

Step 1

Multiply $4.8$ by $6$ .

$28.8 (10^{4} \cdot 10^{6})$

Step 2

Multiply $10^{4}$ by $10^{6}$ by adding the exponents.

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

$28.8 \cdot 10^{4 + 6}$

Add $4$ and $6$ .

$28.8 \cdot 10^{10}$

Step 3

Move the decimal point in $28.8$ to the left by $1$ place and increase the power of $10^{10}$ by $1$ .

$2.88 \cdot 10^{11}$

Evaluate Using Scientific Notation (4.8*10^4)(6*10^6)