Evaluate Using Scientific Notation (5.410^-1)(710^0)

$(5.4 \cdot 10^{- 1}) (7 \cdot 10^{0})$

Step 1

Multiply $5.4$ by $7$ .

$37.8 (10^{- 1} \cdot 10^{0})$

Step 2

Multiply $10^{- 1}$ by $10^{0}$ by adding the exponents.

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

$37.8 \cdot 10^{- 1 + 0}$

Add $- 1$ and $0$ .

$37.8 \cdot 10^{- 1}$

Step 3

Move the decimal point in $37.8$ to the left by $1$ place and increase the power of $10^{- 1}$ by $1$ .

$3.78 \cdot 10^{0}$

Step 4

Convert $3.78 \cdot 10^{0}$ from scientific notation.

$3.78$

Evaluate Using Scientific Notation (5.4*10^-1)(7*10^0)