Mathematics: Plz ! rocky simplified an expression in three steps, as shown: which is the first incorrect step and why? step 1, all the exponents are increased by 2 step 1, all the exponents are multiplied by 2 step 2, the exponents in the denominator are added during multiplication step 3, the exponents of the same base are added during division

Plz ! rocky simplified an expression in three

Ответ:

Naysa150724

14.03.2022

Mathematics

Step 3: exponents of the same base are added during division.

Step-by-step explanation:

We have been an expression and steps used to solve the expression. We are asked to find the 1st incorrect step.

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

Step 1: We will distribute the exponent as:

$\frac{x^{-5\times 2}y^{2\times 2}}{y^{1\times 2}x^{3\times 2}\cdot x^{3\times 2}y^{-5\times 2}}$

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

Step 2: Combine the exponents in denominator.

$\frac{x^{-10}y^{4}}{y^{2+(-10)}x^{6+6}}$

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

Step 3: Use quotient rule of exponents $\frac{a^m}{a^n}=a^{m-n}$ .

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

$\frac{x^{-10}y^{4}}{y^{-8}x^{12}}=x^{(-22)}y^{4+8}$

$\frac{x^{-10}y^{4}}{y^{-8}x^{12}}=x^{(-22)}y^{12}$

Therefore, the student made a mistake in 3rd step as the exponents of the same base are added during division.

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Ответ:

jeanniebyrd54

29.09.2022

Mathematics

well on calculator wise it is 0.0833333333 but you can just put 0.083 and put a line on top of the three (the line tells u it has a lot of the same number so u don't have to write all those threes) :

Step-by-step explanation:

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