Evaluate ((4.5610^3)(2.510^2))/(5.377*10^4)

$\frac{(4.56 \cdot 10^{3}) (2.5 \cdot 10^{2})}{(5.377 \cdot 10^{4})}$

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

$\frac{(4.56 \cdot 2.5) (10^{3} \cdot 10^{2})}{5.377 \cdot 10^{4}}$

Multiply $4.56$ by $2.5$ .

$\frac{11.4 (10^{3} \cdot 10^{2})}{5.377 \cdot 10^{4}}$

Multiply $10^{3}$ by $10^{2}$ by adding the exponents.

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

$\frac{11.4 \cdot 10^{3 + 2}}{5.377 \cdot 10^{4}}$

Add $3$ and $2$ .

$\frac{11.4 \cdot 10^{5}}{5.377 \cdot 10^{4}}$

Divide using scientific notation.

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

$(\frac{11.4}{5.377}) (\frac{10^{5}}{10^{4}})$

Divide $11.4$ by $5.377$ .

$2.12014134 \frac{10^{5}}{10^{4}}$

Subtract the exponent from the denominator from the exponent of the numerator for the same base

$2.12014134 \cdot 10^{5 + 4 \cdot - 1}$

Multiply $4$ by $- 1$ .

$2.12014134 \cdot 10^{5 - 4}$

Subtract $4$ from $5$ .

$2.12014134 \cdot 10^{1}$

Convert $2.12014134 \cdot 10^{1}$ from scientific notation.

$21.20141342$

Evaluate ((4.56*10^3)(2.5*10^2))/(5.377*10^4)