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Exercise

$\left(\frac{x^2x^4x^{-3}}{x^{12}x^{-3}x^{-6}}\right)$

Step-by-step Solution

1

Simplify the fraction $\frac{x^2x^4x^{-3}}{x^{12}x^{-3}x^{-6}}$ by $x^{-3}$

$\frac{x^2x^4}{x^{12}x^{-6}}$
2

When multiplying exponents with same base we can add the exponents

$\frac{x^2x^4}{x^{6}}$
3

When multiplying exponents with same base we can add the exponents

$\frac{x^{6}}{x^{6}}$
4

Simplify the fraction $\frac{x^{6}}{x^{6}}$ by $x^{6}$

$1$

Final answer to the exercise

$1$

Try other ways to solve this exercise

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Main Topic: Quotient of Powers

The quotient of powers of same base is equivalent to the same base to the power of the difference of exponents: $\frac{a^m}{a^n}=a^{m-n}$.

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