Answer :

To solve the expression [tex]\frac{0.018x^9}{-0.9x^3}[/tex], we need to follow a few basic steps in simplifying fractions and using exponent rules.

  1. Simplify the Coefficients:

    First, divide the coefficients (numbers in front of the variables).

    [tex]\frac{0.018}{-0.9}[/tex]

    To make this calculation easier, convert both numbers to fractions or use a calculator. Here it simplifies to:

    [tex]\frac{0.018}{-0.9} = -0.02[/tex]

  2. Use the Exponent Rule:

    When dividing powers with the same base, you subtract the exponents:

    [tex]x^9 : x^3 = x^{9-3} = x^6[/tex]

  3. Combine Results:

    Now, put the simplified coefficient and the simplified power of [tex]x[/tex] together:

    [tex]-0.02x^6[/tex]

So, the simplified form of the expression [tex]\frac{0.018x^9}{-0.9x^3}[/tex] is [tex]-0.02x^6[/tex].

I hope this explanation helps you understand how to simplify expressions with exponents and coefficients! Feel free to ask more questions if you have any.

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