-98xy³×(1/7x²)² нужно упростить
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Simplifying the Expression -98xy³×(1/7x²)²
To simplify the given expression -98xy³×(1/7x²)², we can follow the order of operations, which is parentheses, exponents, multiplication, and division. Let's break it down step by step.
1. Deal with the Exponent Inside the Parentheses: - The expression inside the parentheses is (1/7x²)². To simplify this, we need to square both the numerator and the denominator separately.
- The numerator squared is 1², which equals 1. - The denominator squared is (7x²)², which equals 49x⁴.
- Therefore, the expression inside the parentheses simplifies to 1/49x⁴.
2. Apply the Simplified Expression to the Rest of the Expression: - Now, we can substitute the simplified expression (1/49x⁴) back into the original expression.
- The original expression becomes -98xy³ × (1/49x⁴).
3. Simplify the Multiplication: - To simplify the multiplication, we can multiply the coefficients and combine the variables with the same base.
- The coefficient -98 and 1/49 multiply to give -98/49. - The variables x and x⁴ combine to give x⁵. - The variable y³ remains unchanged.
- Therefore, the simplified expression is -98/49x⁵y³.
So, the simplified form of the expression -98xy³×(1/7x²)² is -98/49x⁵y³.
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