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Fynjy0 [20]
4 years ago
14

Richard simplified an expression in three steps, as shown:

Mathematics
1 answer:
soldi70 [24.7K]4 years ago
4 0

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.

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