Math Problem Statement
Simplify the following expressions: (2x)^3, (4y)^2, (4x^2)^3, (6y^5)^2, (-2x)^4, (-3y)^3, (2x^3/y)^3, (2x^2/y)^6.
Solution
The image contains the following set of expressions to be simplified:
Task: "Suprastinkite reiškinį" translates to "Simplify the expression."
Let’s simplify each one step-by-step:
a)
b)
c)
d)
e)
f)
g)
h)
Final Simplified Results:
a)
b)
c)
d)
e)
f)
g)
h)
Would you like more details or have any questions?
Related Questions:
- How do you apply the power of a product rule in exponentiation?
- What happens when you raise a negative number to an even power versus an odd power?
- How can you simplify fractions with exponents?
- How do you handle exponents in expressions with multiple variables?
- Can you explain how to deal with negative exponents?
Tip: Always apply the exponent to both the coefficient and the variable when simplifying expressions.
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Math Problem Analysis
Mathematical Concepts
Exponentiation
Algebraic Expressions
Powers of Variables
Negative and Positive Exponents
Formulas
Power of a product: (ab)^n = a^n * b^n
Power of a quotient: (a/b)^n = a^n / b^n
Negative exponent: a^(-n) = 1/a^n
Theorems
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Suitable Grade Level
Grades 7-9