High School

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Simplify the expression:

\[ 2x^3 \cdot x - 9x^4 \]

Answer :

Answer:

[tex]\large\boxed{\tt -18x^{7}}[/tex]

Step-by-step explanation:

[tex]\textsf{We are asked to simplify the given expression.}[/tex]

[tex]\tt 2x^3 \times -9x^4[/tex]

[tex]\large\underline{\textsf{Rule of Multiplying Exponents;}}[/tex]

[tex]\textsf{Remember that Exponents represent how many times the term is being multiplied}[/tex]

[tex]\textsf{to itself. Whenever we are multiplying 2 terms with exponents, the exponents will}[/tex]

[tex]\textsf{\underline{add}. When we are multiplying coefficients, we just multiply like we're multiplying 2}[/tex]

[tex]\textsf{whole numbers.}[/tex]

[tex]\large\underline{\textsf{Simplifying;}}[/tex]

[tex]\textsf{Apply the Multiplication Rule for Exponents.}[/tex]

[tex]\tt 2x^3 \times -9x^4 \rightarrow (2x \times -9x)^{3+4} \rightarrow \large\boxed{\tt -18x^{7}}[/tex]

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