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# Negative Exponents and Scientific Notation

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Evaluate each expression

1.) 2^3/10-^2 - 2/7^-2

2.) (p^-5)^-9(p^-6)^4/(p^-8)^0(p^4)^-5

3.) 9.3 * 10^-5

4.) 8 * 10^6

5.) 1 * 10^-8/4 * 10^7

6.) Diameter of a circle. If the diameter of a circle is 1.3 * 10^-12 meters, then what is the radius?

https://brainmass.com/math/basic-algebra/negative-exponents-scientific-notation-181968

## SOLUTION This solution is FREE courtesy of BrainMass!

(1) Is it (2^3 / 10^-2) - (2 / 7^-2)? In that case ...

Given expression = 8 * 10^2 - 2 * 7^2 = 800 - 98 = 702

(2) Given expression = p^45 p^-24 / (p^-8 p^-20) = p^21 / p^-28 = p^49

(3) 9.3 * 10^-5 is in scientific notation. In decimal notations, this is 0.000093.

(4) 8 * 10^6 is in scientific notation. In decimal notations, this is 8000000.

(5) Given expression = 1/(4 * 10^15) = 0.25 * 10^-15 = 2.5 * 10^-16

(6) Radius = Diameter/2 = 1.3 * 10^-12 /2 = 0.65 * 10^-12 = 6.5 * 10^-13 meters.

This content was COPIED from BrainMass.com - View the original, and get the already-completed solution here!