Question

4^2×1/4^5×(4^3)^4 exponential​

Answer 1

Step-by-step explanation:

${4}^{2} \times ({ \frac{1}{4} })^{5} \times( { {4}^{3} })^{4}\\\:using\:identity \:(a^m)^n = a^{m·n} \\ = {4}^{2 } \times {( \frac{1}{4} )}^{5} \times {4}^{12} \\ using \: identity \: {a}^{m} \times {a}^{n} = {a}^{m + n} \\ = {4}^{2 + 12} \times \frac{1}{ {4}^{5} } \\ = \frac{ {4}^{16} }{ {4}^{5} } \\ using \: identity \: \frac{ {a}^{m} }{ {a}^{n} } = {a}^{m - n} \\ = {4}^{16 - 5} \\ = {4}^{11}$