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.
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Options for this question are:
x³ × x¹⁵
(x²)⁹
(x⁶)³
x¹⁹
