Question

Richard simplified an expression in three steps, as shown:

Answer 1

Answer:

Step 2 because Richard multiply the powers of same base  in denominator instead adding powers  of same base.

Step-by-step explanation:

We are given that Richard simplified an expression in threes steps

We have to find the incorrect step in simplification of Richard

Step 1: all the exponent are multiplied by 3

$\frac{x^{-4}y^2}{yx^2\cdot x^2y^{-4}}^{3}=\frac{x^{-12}y^6}{y^3x^6\cdot x^6y^{-12}}$

Step 2:The exponents in the denominator are multiplied

$\frac{x^{-12}y^6}{y^3x^6\cdot x^6 y^{-12}}=\frac{x^{-12}y^6}{x^{12}y^{-9}}$

Step 3:The exponents of the same base are subtracted during division

$\frac{x^{-12}y^6}{x^{12}y^{-9}}=x^{-12-12}y^{6+9}$

$=x^{-24}y^{15}$

Richard makes mistake in step 2 when we multiply  then power of same base should be added but Richard multiply the powers of same base  in denominator.