Math Problem Statement
Calculate: (Various expressions involving powers, fractions, and arithmetic operations)
Solution
Let's go through the exercises from the image you've uploaded. These are calculations involving powers, fractions, and basic operations. I'll provide step-by-step solutions for each expression.
65. Apskaičiuokite (Calculate):
a)
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Calculate the powers:
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Multiply and add inside the parentheses:
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Subtract:
Answer:
b)
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Calculate the powers:
-
Add inside the parentheses: [ 25 + \frac{1}{4} = 25.
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Math Problem Analysis
Mathematical Concepts
Exponents and Powers
Fractions
Order of Operations
Arithmetic Operations
Formulas
a^m ⋅ a^n = a^(m+n)
(a^m) / (a^n) = a^(m-n)
(a^m)^n = a^(m⋅n)
Theorems
Laws of Exponents
Basic Arithmetic Operations
Suitable Grade Level
Grades 9-11