Math Problem Statement
Write \((4y^4)^2\) without exponents.
Solution
To solve without using exponents, we can apply the power rule for exponents, which states that .
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Expand the expression using the rule:
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Calculate :
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Apply the power rule to :
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Combine the results:
Answer: The expression without exponents is .
Would you like further details, or do you have additional questions?
Here are some related questions to expand on the topic:
- How does the power rule for exponents work with negative exponents?
- What is the general form of the power rule when there are multiple variables?
- How would you simplify ?
- Can the power rule be applied to fractional exponents?
- What happens when the exponent is zero in expressions like ?
Tip: When applying the power rule, remember to multiply the exponents to keep the expression simplified.
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Math Problem Analysis
Mathematical Concepts
Exponents
Power Rules
Algebra
Formulas
(a^m)^n = a^{m \cdot n}
Theorems
Power Rule for Exponents
Suitable Grade Level
Grades 8-10