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Powers and roots
Exponent rules and simplifying square roots exactly.
A square root is simplified by pulling out the largest perfect square: √50 = √(25·2) = 5√2. Exponent rules (aᵐ·aⁿ = aᵐ⁺ⁿ, (aᵐ)ⁿ = aᵐⁿ, a⁻ⁿ = 1/aⁿ) let you rewrite powers without computing them.
مثال کار شده · sqrt(50)
قدم به قدم
- \sqrt{50} = 5 \sqrt{2}
Evaluate.
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چطور: Powers and roots
- Evaluate.
سوالاتي که مردم ميپرسن
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Estimate first (round every number and compute roughly), then compare. If the estimate and the exact answer disagree by more than a little, one of them is wrong. The solver shows every operation, so you can find which line went astray.
Why are fractions harder than decimals?
They are not harder, they are more exact: 1/3 is a precise number, 0.333 is an approximation. Fractions need a common denominator to add, which is the one extra step people trip on.