Evaluate Using Scientific Notation (8.610^7)(9.1*10^-8)

$(8.6 \cdot 10^{7}) \cdot (9.1 \cdot 10^{- 8})$

Step 1

Multiply $8.6$ by $9.1$ .

$78.26 (10^{7} \cdot 10^{- 8})$

Step 2

Multiply $10^{7}$ by $10^{- 8}$ by adding the exponents.

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

$78.26 \cdot 10^{7 - 8}$

Subtract $8$ from $7$ .

$78.26 \cdot 10^{- 1}$

Step 3

Move the decimal point in $78.26$ to the left by $1$ place and increase the power of $10^{- 1}$ by $1$ .

$7.826 \cdot 10^{0}$

Step 4

Convert $7.826 \cdot 10^{0}$ from scientific notation.

$7.826$

Evaluate Using Scientific Notation (8.6*10^7)*(9.1*10^-8)