Evaluate Using Scientific Notation (3.310^-4)(8.0*10^0)

$(3.3 \cdot 10^{- 4}) \cdot (8 \cdot 10^{0})$

Step 1

Multiply $3.3$ by $8$ .

$26.4 (10^{- 4} \cdot 10^{0})$

Step 2

Multiply $10^{- 4}$ by $10^{0}$ by adding the exponents.

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

$26.4 \cdot 10^{- 4 + 0}$

Add $- 4$ and $0$ .

$26.4 \cdot 10^{- 4}$

Step 3

Move the decimal point in $26.4$ to the left by $1$ place and increase the power of $10^{- 4}$ by $1$ .

$2.64 \cdot 10^{- 3}$

Evaluate Using Scientific Notation (3.3*10^-4)*(8.0*10^0)