Question

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

Answer 1

Answer:

$\frac{6247}{375000}$

Step-by-step 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, $a^{-b}=\frac{1^{b}}{a^{b}}$

So let's simplify:

$\frac{1^{1}}{60^{1}} - \frac{1^{3}}{50^{3}}$

Simplify further:

$\frac{1}{60} - \frac{1}{125000}$

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

$\frac{1*6250}{60*6250} - \frac{1*3}{125000*3}$

Simplify:

$\frac{6250}{375000}-\frac{3}{375000}$

Now perform the subtraction:

$\frac{6247}{375000}$

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

Answer 2

Answer:

0.595.

Step-by-step explanation:

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