Friday

April 18, 2014

April 18, 2014

Posted by **tim** on Sunday, April 10, 2011 at 10:36pm.

- math -
**Jai**, Sunday, April 10, 2011 at 11:17pmfor (1),

a^2 * b^(-3)

note that when a term is raised to a negative exponent, we get its reciprocal and raise it by the positive exponent,, for example,

2^(-4) = 1/(2^4) ; thus we can rewrite

b^(-3) = 1/(b^3)

therefore,

a^2 * (1/(b^3))

a^2 / b^3

for (2),

(5/3)^-3

we do the same thing,, get the reciprocal, make the exponent positive and simplify:

(3/5)^3

27 / 125

for (3),

(a^2b^0c)^0

note that any number (except zero) raised to zero is equal to 1,, thus assuming a, b and c are not equal to 0,

(a^2b^0c)^0 = 1

for (4),

do you mean x^(-2) * y^(3) ? if so,

it's the same as #1:

(1/(x^2)) * y^3

y^3 / x^2

for (5),

3x^-2

it's also the same procedure as #1:

3*(1 / (x^2))

3/(x^2)

for (6),

(n^2) / (n^(-3))

same procedure as #1,,

(n^2) / (1/(n^3))

simplifying,

(n^2)*(n^3)

note that when multiplying terms raised to exponents but have the same base, we can just add the exponents,, for example

2^3 * 2^5 = 2^(3+5) = 2^8

note that the base here is 2.

therefore,

(n^2)*(n^3) = n^(2+3) = n^5

hope this helps~ :)

- math -
**tim**, Monday, April 11, 2011 at 2:43pmthanks! i really appreciate this :)

**Related Questions**

Pre-Calc-please check - Please check this for me expand (3z-2b)^5 using Binomial...

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

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

Math 115 - Is the following set of numbers a perfect triple? 8, 10, 12. (2)Add -...

Pre Calculus - Factor Completely a. 3x^8-3x^6 b. 20a^2b^2x^2-45a^2b^2y^2

Algebra - Simplify A^6 x a^2b^-2 44,909 in scientific notation Simplify (a^2b^3...

Algebra - please help. I am not sure if this is correct. I need to simplify ...

math - x+4/2 - x-1/5 + 2x+5/10 another is 3b/7a - a/2b + 3a^2-2b^2/14ab another ...

math help - If 3ab=6, what is the value of a in terms of b? a. 2 b. 2/b c. 2b^2 ...

Pre Algebra HELP - I dont know exactly what you mean by typing like this 2y3(4x-...