How Do You Simplify Complex Fractional Exponents in Algebra?

and x^a/x^b= x^{a-b}=\frac{2x^{\frac{4}{5}}- x^{\frac{2}{3}}}{x^{-\frac{1}{3}}}=\frac{2x^{\frac{4}{5}}}{x^{-\frac{1}{3}}}- \frac{x^{\frac{2}{3}}}{x^{-\frac{1}{3}}}=2x^{\frac{4}{5}-(-\frac{1}{3})}- x^{\frac{2}{3}-(-\frac{1}{3})}=2x^{\frac{7}{5}}- x^{\frac{5}{
  • #1
tunaizgood
1
0
Fractions, Exponents, and x :(

I simply just don't get fractions and exponents
i was given this problem:
[6x^(4/5)-3x(2/3)]/3x^(1/3)
i haven't gotten anywhere and I'm stuck
help
thanks in advance
 
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  • #2


What problem?

What are you supposed to do?

All you have done so far is to present an expression.
What are you supposed to do with it?

Paint the expression on a subway station, perhaps?
(That would be easy, but technically illegal)
 
  • #3


tunaizgood said:
I simply just don't get fractions and exponents
i was given this problem:
[6x^(4/5)-3x(2/3)]/3x^(1/3)
Is there supposed to be a "^" before the 2/3?

i haven't gotten anywhere and I'm stuck
help
thanks in advance
So this is
[tex]\frac{6x^{\frac{4}{5}}- 3x^{\frac{2}{3}}}{3x^{\frac{1}{3}}}[/tex]
and you want to simplify it? I would start by factoring out a "3"
[tex]\frac{3(2x^{\frac{4}{5}}- x^{\frac{2}{3}})}{3x^{\frac{1}{3}}}[/tex]
[tex]=\frac{2x^{\frac{4}{5}}- x^{\frac{2}{3}}}{x^{\frac{1}{3}}}[/tex]
Now write the [itex]x^{1/3}[/itex] in the denominator as [itex]x^{-1/3}[/itex] in the numerator and use the "laws of exponents": [itex]x^ax^b= x^{a+b}[/itex]
 

Related to How Do You Simplify Complex Fractional Exponents in Algebra?

1. What is a fraction?

A fraction is a numerical quantity that represents a part of a whole. It is expressed as one number (numerator) divided by another number (denominator), separated by a horizontal line.

2. How do I simplify fractions?

To simplify a fraction, you need to find the greatest common factor (GCF) of the numerator and denominator and divide both numbers by it. This will result in a reduced fraction with the same value as the original fraction.

3. What is an exponent?

An exponent is a mathematical notation that indicates the number of times a number (base) is multiplied by itself. It is written as a small number above and to the right of the base number.

4. How do I solve equations with exponents?

To solve an equation with exponents, you need to use the rules of exponents. For example, when multiplying two numbers with the same base, you can add the exponents. And when dividing two numbers with the same base, you can subtract the exponents. You can also apply these rules when solving equations with multiple exponents.

5. What is the value of x in an equation?

The value of x in an equation represents an unknown quantity. It is often used to solve for a missing value or to represent a variable in a mathematical expression. To find the value of x, you can use algebraic methods such as substitution, elimination, or graphical representation.

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