Math Problem Statement
(2³)³ ÷ (2⁴)⁴
Solution
Let's solve the expression .
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Simplify :
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Simplify :
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Now, the expression becomes:
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Apply the quotient rule for exponents, :
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Finally, can also be written as:
So, .
Would you like more details on any step? Here are some related questions:
- How do you simplify other exponent expressions like ?
- What is the rule for dividing expressions with the same base?
- How can negative exponents be converted to fractions?
- How do you handle exponents with different bases?
- Can you explain the power rule of exponents in more detail?
Tip: When multiplying or dividing expressions with the same base, always use the exponent rules to simplify the calculation.
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Math Problem Analysis
Mathematical Concepts
Exponents
Quotient Rule
Negative Exponents
Formulas
Power of a Power Rule: (a^m)^n = a^{m*n}
Quotient Rule for Exponents: a^m ÷ a^n = a^{m-n}
Negative Exponents: a^{-n} = 1/a^n
Theorems
Exponent Rules
Suitable Grade Level
Grades 8-10