Question

Simplify open parentheses x to the 5 eighths power close parentheses to the 2 thirds power.

Answer 1

Answer:

$x^{\frac{5}{12}}$

Step-by-step explanation:

$(x^{\frac{5}{8}})^{\frac{2}{3}}$

To simplify it we multiply the exponents inside with exponent outside

$(a^m)^n = a^{mn}$

$\frac{5}{8} *\frac{2}{3}$

Cancel out 8 and 2

$\frac{5}{4} *\frac{1}{3}$

$\frac{5}{12}$

tex](x^{\frac{5}{8}})^{\frac{2}{3}}=\frac{5}{12}[/tex]

Answer 2

If we are to express the word problem to its mathematical expression,

                                        (x^5/8)^2/3

The concept to be used in order to answer this item is the product of the exponents. If,

                                     (x^m)^n

The final answer would be,

                                     x^mn

If we apply the same principle to the equation above,

                                 (x^5/8)^(2/3)
                                      x^(5/8)(2/3) 
                                        x^5/12
Thus, the most simplified form is equal to x^5/12.