Question

Rocky simplified an expression in three steps, as shown:

Answer 1

Answer:

Step 3.

Step-by-step explanation:

The given expression is

$(\frac{x^{-5}y^2}{yx^3\cdot x^3y^{-5}})^2$

Step 1: Using distributive property of exponent we get

$\frac{(x^{-5})^2(y^2)^2}{(y)^2(x^3)^2\cdot (x^3y^{-5})^2}$      $[\because (ab)^x=a^xb^x]$

$\frac{x^{-10}y^4}{y^2x^6\cdot x^6y^{-10}}$

Ste 2: Using product property of exponent, we get

$\frac{x^{-10}y^4}{y^{2-10}x^{6+6}}$      $[\because a^ma^n=a^{m+n}]$

$\frac{x^{-10}y^4}{y^{-8}x^{12}}$

Step 3: Using quotient property of exponent, we get

$x^{(-10-12)}y^{4-(-8)}$      $[\because \frac{a^m}{a^n}=a^{m-n}]$

$x^{(-22)}y^{12}$

Therefore, the first incorrect step is 3.

Answer 2

Answer:

Step three is wrong because when you divide use the quotient rule which is in division the exponents are subtracted and in this problem the exponents are added