Evaluate Using Scientific Notation (1.310^-2)(5.0*10^-2)

$(1.3 \cdot 10^{- 2}) \cdot (5 \cdot 10^{- 2})$

Step 1

Multiply $1.3$ by $5$ .

$6.5 (10^{- 2} \cdot 10^{- 2})$

Step 2

Multiply $10^{- 2}$ by $10^{- 2}$ by adding the exponents.

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

$6.5 \cdot 10^{- 2 - 2}$

Subtract $2$ from $- 2$ .

$6.5 \cdot 10^{- 4}$

Evaluate Using Scientific Notation (1.3*10^-2)*(5.0*10^-2)