Answer :
The given expression is equivalent to [tex]x^{10}[/tex], not [tex]x^{6+3}[/tex] or [tex]x^9.[/tex]
What are the rules of exponents?
The rules of exponents are a set of mathematical rules that simplify expressions that involve powers or exponents. Some of the basic rules of exponents include:
- [tex]x^m * x^n = x^{(m+n)}[/tex] (product rule)
- [tex](x^m)^n = x^{(m*n)}[/tex] (power of a power rule)
- [tex]x^0 = 1[/tex] (zero exponent rule)
- (negative exponent rule)
The expression [tex]x^6 * x * x^3[/tex] can be simplified using the rules of exponents as follows:
[tex]x^6 * x * x^3 = x^{(6+1+3)} = x^{10}[/tex]
Therefore, the given expression is equivalent to [tex]x^{10}[/tex], not [tex]x^{6+3}[/tex] or [tex]x^9.[/tex]
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