Wednesday

July 23, 2014

July 23, 2014

Posted by **Zava** on Monday, October 26, 2009 at 6:48pm.

How do you write a fractions an expression using a negative exponent?

- Math -
**jim**, Monday, October 26, 2009 at 7:43pmI'll try to answer the case I think you're asking about. If I'm guessing wrong, do ask again.

If you have something like x^2 * x^3 (x-squared times x-cubed) then you add the exponents:

x^2 * x^3 = x^5

Similarly, in general,

x^a * x^b = x^(a+b)

With negative exponents, you drop the negative bit, and write "one over" the expression, thus:

x^(-1) = 1/x

x^(-2) = 1/x^2

x^(-3.14159) = 1/x^3.14159

and in general

x^(-a) = 1/x^a

- Math -
**Zava**, Monday, October 26, 2009 at 7:57pmlike, the scientific notation?

- Math -
**jim**, Monday, October 26, 2009 at 8:00pmYes, but "scientific notation" is often used when talking about powers of 10, like:

20000 = 2 * 10^4

This makes arithmetic with large numbers easy, since, following the rule above, all you have to do is add powers to multiply the factors of 10, like:

(2.1 * 10^5) * (3 * 10^4)

= 2.1 * 3 * 10^5 * 10^4

= 6.1 * 10^9

- Math -
**jim**, Monday, October 26, 2009 at 8:01pmOops: that last line should have been

= 6.3 * 10^9

of course!

**Related Questions**

math - simplify the expression; write without using negative exponents. Assume ...

Algebra - Simplify each expression. Assume that no denominators are zero. Write ...

Math(Please help) - Simplify each expression. Assume all variables are positive...

algebra - ***show work evaluate the expression: 7^-6 (-6)^-9 simplify the ...

College Algebra - I have a few more questions that I'm not understanding. Its ...

algebra - write the following using a positive exponent, simplify the expression...

Calculus - Simplify the expression below. Express the answer so that all ...

Math - Simplify each expression. Write answers using positive exponents. a. (7x^...

Math - Simplify each expression. Write answers using positive exponents. a. (7x^...

Math - Simplify the expression. Write your answer using only positive exponents...