Evaluate ((1.78*10^-1)/0.0534)^4

${(\frac{1.78 \cdot 10^{- 1}}{0.0534})}^{4}$

Step 1

Divide using scientific notation.

Group coefficients together and exponents together to divide numbers in scientific notation.

${((\frac{1.78}{0.0534}) (\frac{10^{- 1}}{1}))}^{4}$

Divide $1.78$ by $0.0534$ .

${(33.\overline{3} \frac{10^{- 1}}{1})}^{4}$

Divide $10^{- 1}$ by $1$ .

${(33.\overline{3} \cdot 10^{- 1})}^{4}$

Step 2

Move the decimal point in $33.\overline{3}$ to the left by $1$ place and increase the power of $10^{- 1}$ by $1$ .

${(3.\overline{3} \cdot 10^{0})}^{4}$

Step 3

Convert $3.\overline{3} \cdot 10^{0}$ from scientific notation.

${3.\overline{3}}^{4}$

Step 4

Raise $3.\overline{3}$ to the power of $4$ .

$123.45679012$