Simply and express the following expression in terms of positive exponents:𝑥7⋅𝑦8𝑥5⋅𝑦5

Question

Simply and express the following expression in terms of positive exponents:

$x^7 \cdot y^8 \cdot x^5 \cdot y^5$

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Solution

The given expression is 𝑥⁷⋅𝑦⁸/𝑥⁵⋅𝑦⁵.

Step 1: Separate the terms with the same base. This gives us (𝑥⁷/𝑥⁵) * (𝑦⁸/𝑦⁵).

Step 2: Apply the rule of exponents which states that when you divide terms with the same base, you subtract the exponents. This gives us 𝑥^(7-5) * 𝑦^(8-5).

Step 3: Subtract the exponents to simplify the expression. This gives us 𝑥² * 𝑦³.

So, 𝑥⁷⋅𝑦⁸/𝑥⁵⋅𝑦⁵ simplifies to 𝑥²⋅𝑦³.

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Simply and express the following expression in terms of positive exponents:𝑥7⋅𝑦8𝑥5⋅𝑦5

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