Evaluate ((6.6710^-11)(5.9710^24))/((6.38*10^6)^2)

$\frac{(6.67 \times 10^{- 11}) (5.97 \times 10^{24})}{{(6.38 \times 10^{6})}^{2}}$

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

$\frac{(6.67 \cdot 5.97) (10^{- 11} \cdot 10^{24})}{{(6.38 \cdot 10^{6})}^{2}}$

Multiply $6.67$ by $5.97$ .

$\frac{39.8199 (10^{- 11} \cdot 10^{24})}{{(6.38 \cdot 10^{6})}^{2}}$

Multiply $10^{- 11}$ by $10^{24}$ by adding the exponents.

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

$\frac{39.8199 \cdot 10^{- 11 + 24}}{{(6.38 \cdot 10^{6})}^{2}}$

Add $- 11$ and $24$ .

$\frac{39.8199 \cdot 10^{13}}{{(6.38 \cdot 10^{6})}^{2}}$

Write $39.8199 \cdot 10^{13}$ in proper scientific notation.

$\frac{3.98199 \cdot 10^{14}}{{(6.38 \cdot 10^{6})}^{2}}$

Simplify the denominator.

Apply the product rule to $6.38 \cdot 10^{6}$ .

$\frac{3.98199 \cdot 10^{14}}{{6.38}^{2} \cdot {(10^{6})}^{2}}$

Raise $6.38$ to the power of $2$ .

$\frac{3.98199 \cdot 10^{14}}{40.7044 \cdot {(10^{6})}^{2}}$

Multiply the exponents in ${(10^{6})}^{2}$ .

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

$\frac{3.98199 \cdot 10^{14}}{40.7044 \cdot 10^{6 \cdot 2}}$

Multiply $6$ by $2$ .

$\frac{3.98199 \cdot 10^{14}}{40.7044 \cdot 10^{12}}$

Raise $10$ to the power of $12$ .

$\frac{3.98199 \cdot 10^{14}}{40.7044 \cdot 1000000000000}$

Multiply $40.7044$ by $1000000000000$ .

$\frac{3.98199 \cdot 10^{14}}{40704400000000}$

Divide using scientific notation.

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

$(\frac{3.98199}{40704400000000}) (\frac{10^{14}}{1})$

Divide $3.98199$ by $40704400000000$ .

$0 \frac{10^{14}}{1}$

Divide $10^{14}$ by $1$ .

$0 \cdot 10^{14}$

Write $0 \cdot 10^{14}$ in proper scientific notation.

$9.78270162 \cdot 10^{0}$

Convert $9.78270162 \cdot 10^{0}$ from scientific notation.

$9.78270162$

Evaluate ((6.67*10^-11)(5.97*10^24))/((6.38*10^6)^2)