Question

solve question is in attachment ✅✔​

Answer 1

Answer:

$\text {F = } 2.02 \times 10^{20} \text { (3 significant figure)}$

Step by Step Explanation:

Algebraic Identify needed:

aⁿ x aˣ = aⁿ⁺ˣ

aⁿ/aˣ = aⁿ⁻ˣˣ

(aⁿ)ˣ = aⁿˣ

Scientific Form:

A x 10ⁿ where A is between 1 to less than 10

Question:

$\text {F = } \dfrac{6.7 \times 10^{-11} \times 6 \times 10^{24} \times 7.4 \times 10^ {22} }{(3.84 \times 10^8)^2}$

Apply aⁿ x aˣ = aⁿ⁺ˣ and (aⁿ)ˣ = aⁿˣ

$\text {F = } \dfrac{(6.7 \times 6 \times 7.4)(10^{-11+24+22}) }{14.7456 \times 10^{16}}$

$\text {F = } \dfrac{297.48 \times 10^{35} }{14.7456 \times 10^{16}}$

Apply aⁿ/aˣ = aⁿ⁻ˣˣ

$\text {F = } 20.174 \times 10^{35 - 16}$

Write in A x 10ⁿ

$\text {F = } 20.174 \times 10^{19}$

Answer:

$\text {F = } 2.02 \times 10^{20} \text { (3 significant figure)}$