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

Question

asked Feb 18, 2022 103k views

2 Answers

Rami Loiferman · Answer 1 · 2022-02-19T13:10:32+0000

Answer:

(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.