Evaluate Using Scientific Notation (4.610^3)(9.1210^-7)

$(4.6 \cdot 10^{3}) (9.12 \cdot 10^{- 7})$

Step 1

Multiply $4.6$ by $9.12$ .

$41.952 (10^{3} \cdot 10^{- 7})$

Step 2

Multiply $10^{3}$ by $10^{- 7}$ by adding the exponents.

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

$41.952 \cdot 10^{3 - 7}$

Subtract $7$ from $3$ .

$41.952 \cdot 10^{- 4}$

Step 3

Move the decimal point in $41.952$ to the left by $1$ place and increase the power of $10^{- 4}$ by $1$ .

$4.1952 \cdot 10^{- 3}$

Evaluate Using Scientific Notation (4.6*10^3)(9.12*10^-7)