Question

(6 x 10 to the power of -1) - (5 x 10 to the power of -3)

Answer 1

`(6247)/(375000)`

Explanation:

Hey, Ace here!

We have the equation
`(6*10)^(-1) - (5*10)^(-3)`

Let's simplify by doing the parenthesis first:

`60^(-1) - 50^(-3)`

According to our exponent rules,
`a^(-b)=(1^(b))/(a^(b))`

So let's simplify:

`(1^(1))/(60^(1)) - (1^(3))/(50^(3))`

Simplify further:

`(1)/(60) - (1)/(125000)`

Find a common denominator (which, yes, is a pain):

`(1*6250)/(60*6250) - (1*3)/(125000*3)`

Simplify:

`(6250)/(375000)-(3)/(375000)`

Now perform the subtraction:

`(6247)/(375000)`

That's your answer. Let me know if you have any questions.

Answer 2

0.595.

Explanation:

.