Question

100 POINTS PLEASE HELP THERE IS A PIC JUST PLEASE CLICK ON IT PLEASEEEE

Answer 1

`2.48* 10^(-2)`

Explanation:

Given rational expression:

`(\left(1.24 * 10^2\right)\left(3.6 * 10^(-3)\right))/(1.8 * 10)`

Remove the parentheses in the numerator:

`\implies (1.24 * 10^2 * 3.6 * 10^(-3))/(1.8 * 10)`

Collect like terms in the numerator:

`\implies (1.24 * 3.6 * 10^2 * 10^(-3))/(1.8 * 10)`

Multiply the numbers 1.24 and 3.6:

`\implies (4.464 * 10^2 * 10^(-3))/(1.8 * 10)`

`\textsf{Apply exponent rule} \quad a^b \cdot a^c=a^(b+c):`

`\implies (4.464 * 10^(2-3))/(1.8 * 10)`

`\implies (4.464 * 10^(-1))/(1.8 * 10)`

`\textsf{Apply the fraction rule} \quad (a * b)/(c * d)=(a)/(c) * (b)/(d):`

`\implies (4.464)/(1.8) * (10^(-1))/(10)`

Divide the numbers 4.464 and 1.8:

`\implies 2.48* (10^(-1))/(10)`

`\textsf{Apply exponent rule} \quad (a^b)/(a^c)=a^(b-c):`

`\implies 2.48* 10^(-1-1)`

`\implies 2.48* 10^(-2)`