Question

simplify the following expression. if the answer contains exponents, all exponen\\(\left(\frac{y^{10}}{y^{4}}\
ight)^{4}=\\)

Explanation:

Step1: Simplify inside the parentheses

Use exponent rule $\frac{y^a}{y^b}=y^{a-b}$
$\frac{y^{10}}{y^4}=y^{10-4}=y^6$

Step2: Apply power of a power rule

Use exponent rule $(y^a)^b=y^{a\times b}$
$(y^6)^4=y^{6\times4}=y^{24}$

Answer:

$y^{24}$