how to rewrite the expression with positive exponents, please help, thank you..
(29xy)^-2/3
(29xy)^-2/3
1/ (29 xy)^(2/3)
To rewrite the expression (29xy)^(-2/3) with positive exponents, you can use the reciprocal property of exponents.
Step 1: Start by taking the reciprocal of the expression (29xy)^(-2/3). The reciprocal of a number or expression is obtained by flipping the numerator with the denominator.
Reciprocal of (29xy)^(-2/3) = 1 / (29xy)^(2/3)
Step 2: Next, apply the property of exponents that states when a number or expression is raised to a power, you can distribute that power to both the numerator and denominator separately.
So, (29xy)^(2/3) can be rewritten as (29^2 x^2 y^2)^(1/3).
Step 3: Simplify (29^2 x^2 y^2)^(1/3) by applying the power rule. The power rule states that when raising an expression with an exponent to another exponent, you multiply the exponents.
(29^2 x^2 y^2)^(1/3) = 29^(2/3) * x^(2/3) * y^(2/3)
Therefore, the final expression with positive exponents is:
1 / (29xy)^(2/3) = 29^(2/3) * x^(2/3) * y^(2/3).