Evaluate Using Scientific Notation (8.9*10^5)^4

${(8.9 \cdot 10^{5})}^{4}$

Step 1

Apply the product rule to $8.9 \cdot 10^{5}$ .

${8.9}^{4} \cdot {(10^{5})}^{4}$

Step 2

Raise $8.9$ to the power of $4$ .

$6274.2241 \cdot {(10^{5})}^{4}$

Step 3

Multiply the exponents in ${(10^{5})}^{4}$ .

Apply the power rule and multiply exponents, ${(a^{m})}^{n} = a^{m n}$ .

$6274.2241 \cdot 10^{5 \cdot 4}$

Multiply $5$ by $4$ .

$6274.2241 \cdot 10^{20}$

Step 4

Move the decimal point in $6274.2241$ to the left by $3$ places and increase the power of $10^{20}$ by $3$ .

$6.2742241 \cdot 10^{23}$