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(k^(6))^(5)

$\left(k^{6}\right)^{5}$

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Powers with negative bases

Full solution

Q.

\left(k^{6}\right)^{5}

Apply power rule: Apply the power of a power rule. $\newline$ The power of a power rule states that $(a^m)^n = a^{m*n}$ . In this case, we have $(k^6)^5$ , which means we need to multiply the exponents. $\newline$ Calculation: $6 \times 5 = 30$
Calculate new exponent: Write the expression with the new exponent. $\newline$ After applying the power of a power rule, the expression $(k^6)^5$ simplifies to $k^{(6*5)}$ , which is $k^{30}$ .

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