College

Which of the following is NOT equivalent to [tex]x^{18}[/tex]?

A. [tex](x^6)^3[/tex]

B. [tex]x^{9} \times x^{9}[/tex]

C. [tex]x^{10} \times x^{8}[/tex]

D. [tex]x^3 \times x^{15}[/tex]

Answer :

The option that is not equivalent to x ¹⁸ is D. x ¹⁹

How to find the equivalent ?

As a means to simplify option 1, we can incorporate the rule of multiplying two powers with an identical base to add their exponents. For instance, by doing x³ × x¹⁵ , we would end up with x¹⁸, which ultimately leads to x ¹⁸ as an equivalent result.

By applying the understood concept that when raising a power to itself,exponents must be multiplied together, option 2 becomes more understandable. Specifically, (x ² ) ⁹ = x ¹⁸,the same equivalence as x¹⁸.

Similarly, option 3 assimilates this approach; (x ⁶ ) ³ = x¹⁸,leading to x¹⁸ once again as an equal resonance.

In contrast, option 4, i.e., x¹⁹, comprises an exponent one higher than x¹⁸ and thus, is dissimilarly unequal in comparison.

Find out more on equivalent functions at https://brainly.com/question/31452955

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Options for this question are:

x³ × x¹⁵

(x²)⁹

(x⁶)³

x¹⁹