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Simplify the expression [xⁿ]. Rewrite the expression in the form [x⁶ * x⁸].

User Symbolrush
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To simplify the expression xⁿ, you can rewrite it in the form x⁶ * x⁸, which means adding the exponents to get x⁾⁴ (assuming n=14). This uses the property that when bases are the same, exponents are added when multiplying.

To simplify the expression xⁿ, we can follow the properties of exponents. When you have an expression of the form x⁶ * x⁸, you can add the exponents since the bases (x) are the same. The simplified expression will therefore be x⁾⁴ (n being 6+8=14 in this case).

Cubing of exponentials involves raising both the base and the exponent by the cubic power. For example, (ab)3 would become a3b. Similarly, squaring exponentials like (ab)2 results in a2b. We apply these rules for powers of exponentials accordingly.

Also, when we multiply expressions with the same base but different exponents, as shown in the rule xpxq = x(p+q), we simply add the exponents. If you have an example like 3235, you can add the exponents to get 37. This principle applies to any variable or number.

User NikGreen
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