Apply power rule: Apply the power of a power rule. 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. Calculation: 6 * 5 = 30Calculate new exponent: Write the expression with the new exponent. 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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$\left(k^{6}\right)^{5}$

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Math Problems

Grade 7

Powers with negative bases

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\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 $k^{30}$ .