Math Problem Statement

tolong berikan jawabanya, aku kurang paham

tolong berikan jawabanya, aku kurang paham

Solution

The expression you uploaded is:

a3b4c3c6a\frac{a^3 b^4 c^3}{c^6 a}

Step-by-step solution:

  1. Simplify the terms with the same base:

    For the base aa: a3a=a31=a2\frac{a^3}{a} = a^{3-1} = a^2

    For the base bb: There is no bb term in the denominator, so the term b4b^4 remains unchanged.

    For the base cc: c3c6=c36=c3\frac{c^3}{c^6} = c^{3-6} = c^{-3}

  2. Final simplified expression: a2b4c3a^2 b^4 c^{-3} This can also be written as: a2b41c3a^2 b^4 \frac{1}{c^3}

Thus, the simplified result is:

a2b4c3\boxed{a^2 b^4 c^{-3}}

Let me know if you would like further clarifications!

Related Questions:

  1. How do you simplify expressions with negative exponents?
  2. How would the result change if the exponents in the numerator and denominator were swapped?
  3. What happens if there are fractional exponents in this kind of expression?
  4. How do you multiply two expressions with exponents together?
  5. Can you explain how the product rule of exponents works in this case?

Tip:

When simplifying fractions involving exponents, always subtract the exponents of like bases when dividing them.

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Math Problem Analysis

Mathematical Concepts

Algebra
Exponent Rules
Simplifying Fractions

Formulas

Exponent subtraction when dividing like bases: a^m / a^n = a^(m-n)
Negative exponents: a^-n = 1 / a^n

Theorems

Exponent Laws

Suitable Grade Level

Grades 9-11