Let's fill in the blanks based on the patterns observed in the equations you provided:
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Simplified - X^(50) / X^(50)
- This is the simplification where an expression is divided by itself, resulting in 1.
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x^(50) - x^(-50)
- This requires an equivalent positive exponent result. This can be written as:
x^(50) = 1 / x^(-50).
- This requires an equivalent positive exponent result. This can be written as:
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1/r^(4) - 1/r^(4)
- This keeps the same form, where both terms are fractions over the same base.
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r^(-4) - s^(-1)
- Given the format of the first term, let's say the second should have a similar base result. So we could articulate this as:
- r^(-4) - r^(-4), making sense of the formatting as both terms are compatible.
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3v^(7) / u^(12)
- This term represents a rational expression already simplified.
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3v^(7)u^(-12)
- This is the same term reorganized into a single fraction, represented with a negative exponent to indicate inversion.
Here’s the complete filling in of the blanks:
- Simplified - X^(50) / X^(50)
- X^(50) - X^(-50)
- 1/r^(4) - 1/r^(4)
- r^(-4) - r^(-4)
- 3v^(7) / u^(12)
- 3v^(7)u^(-12)
Feel free to specify if you would like different values or terms!
1 answer