Question

Select the equivalent expression. (1)/(x³xy⁴y) (1)/(x⁴y³) x⁴y⁵

Answer 1

To simplify the given expression, we need to simplify each component separately and then multiply them together. After simplifying and canceling out the common terms, the resulting expression is x⁸y⁸.

Step-by-step explanation:

To simplify the expression (1)/(x³xy⁴y) × (1)/(x⁴y³) × x⁴y⁵, we need to simplify each component separately and then multiply them together.

1. Starting with the first component (1)/(x³xy⁴y), we can simplify the terms in the denominator to get 1/x³xy⁴y, which can be further simplified to 1/x⁴y⁵.
2. Moving on to the second component (1)/(x⁴y³), when we simplify the terms in the denominator, we get 1/x⁴y³.
3. Finally, multiplying the simplified components together, we have (1/x⁴y⁵) × (1/x⁴y³) × x⁴y⁵.

Now, we can cancel out the common terms in the numerators and denominators, which leaves us with 1/x⁴y³ × x⁴y⁵.

When we multiply the x-terms, x⁴ and x⁴, we add their exponents to get x⁸. And when we multiply the y-terms, y³ and y⁵, we add their exponents to get y⁸. Therefore, the equivalent expression is x⁸y⁸.

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