Question

algebra 2 with probability - k(a)-s1
5-2: mathxl for school: practice and problem-solving porry
part 1 of 4
justify each step used in
simplifying the expression.
\\( \left( \frac { a ^ { 2 } } { a ^ { \frac { 3 } { 4 } } } \
ight. \\)
the product of powers property
the power of a power property
addition
the quotient property of radicals
subtraction
the power of a product property
relating exponents and radicals.
the quotient of powers property
the product property of radicals
the step \\( \left( \frac { a ^ { 2 } } { a ^ { \frac { 3 } { 4 } } } \
ight) ^ { \frac { 1 } { 5 } } = \left( a ^ { 2 - \frac { 3 } { 4 } } \
ight) ^ { \frac { 1 } { 5 } } \\) is valid by
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Explanation:

Step1: Recall the Quotient of Powers Property

The Quotient of Powers Property states that \(a^m\div a^n=a^{m - n}\) for \(a
eq0\) and real numbers \(m\) and \(n\). In the expression \(\frac{a^{2}}{a^{\frac{3}{4}}}\), using this property, we subtract the exponents. So, \(2-\frac{3}{4}\) is the result of applying the Quotient of Powers Property.

Answer:

the Quotient of Powers Property