Question

PLEASE!?!?!?   11 points and brainliest
Match the expression to the exponent property that you use first to simplify the expression.

Answer 1

$\frac{a^m}{a^n} = a^{m - n} \rightarrow \frac{h^{\frac{3}{2}}}{h^\frac{4}{3}}$
$(a^m)^n = a^{mn} \rightarrow (p^\frac{1}{4})^\frac{2}{3}$
$a^m\cdot a^n = a^{m+n} \rightarrow z^{\frac{3}{4}} \times z^\frac{5}{6}$
$(\frac{a}{b})^n = \frac{a^n}{b^n} \rightarrow (\frac{x^2}{y})^\frac{1}{3}$

Please give brainliest :P

Answer 2

Step-by-step explanation:

$(p^\frac{1}{4})^{\frac{2}{3}}$

$\frac{a^m}{a^n} =a^{m-n} --------------> \frac{h^\frac{3}{2}}{h^\frac{4}{3} } = h^{\frac{3}{2}-\frac{4}{3} }=h^{\frac{1}{3}}$

$(a^m)^n= a^{mn}-------> (p^\frac{1}{4})^{\frac{2}{3}}=p^\frac{1}{6}$

$a^m * a^n= a^{m+n}------->z^\frac{3}{4} *z^\frac{5}{6} =z^{\frac{19}{12}}$

$(\frac{a}{b})^n=\frac{a^n}{b^n}-------> (\frac{x^2}{y})^{\frac{1}{3}} =(\frac{x\frac{2}{3} }{y^\frac{1}{3} })$