SOLUTION: Please help me. The instructions are: simplify each expression. Assume that all variables represent positive numbers. Write with only positive exponents. (a) to the 1/3 power,

Question 43832This question is from textbook intermediate algebra
: Please help me. The instructions are: simplify each expression. Assume that all variables represent positive numbers. Write with only positive exponents.
(a) to the 1/3 power, (a) to the 4/3 power, (a) to the 1/2 power.
First I wrote them all in Radical Form and tried to find the cube root of each of them, but I don't understand what to do.
Thanks so much! This question is from textbook intermediate algebra

Answer by tutorcecilia(2152) (Show Source): You can put this solution on YOUR website!
First, fractional exponents are a short-hand method of writing radicals raised to some power:
For example in a^1/3:
a = the base
The numerator = the power that a is raised to
The denominator = the root of the base
.
So, a is the base, 1 is the power, and 3 is the third root of a:
(cube root of a)^1
(cube root of a)^4
(square root of a)^1

RELATED QUESTIONS
Please help me. The instructions are: Simplify each expression. Assume that all variables (answered by fractalier)

The instructions state: Simplify the expression. Assume that all variables represent... (answered by ankor@dixie-net.com)

Simplify the radical expression. Assume that all variables represent positive numbers.... (answered by edjones)

Simplify each expression. Write answers in positive exponents. Assume all variables... (answered by mananth)

HELP!!!! Please Simplify the expression: (625x^4y)one-fourth over (256xy^3)three-fourth. (answered by stanbon)

simplify each expression. write your answers with positive exponents. assume that all... (answered by jim_thompson5910)

Please help me. Simplify. Assume that all variables represent positive real numbers.... (answered by jim_thompson5910)

Rationalize the denominator and simplify. please help me solve this equation {{{ 4thrt... (answered by josgarithmetic)

simplify the expression. write the answer with positive exponents. Assume that all... (answered by Alan3354)