Sederhanakan perpangkatan berikut ini

Sederhanakan perpangkatan berikut ini

Jawab:

Pahami sifat perpangkatan berikut

$a^m times a^n = a^{m + n}\a^{-n} = frac{1}{a^n} \frac{a^m}{a^n} = a^{m - n}\(frac{a}{b})^n = frac{a^n}{b^n}$

Soal a

$4(-2,5)^4 times (-2,5)^3\= 4(-2,5)^{4 + 3}\= 4(-2,5)^7\= 4(-610.3515625)\= 2441.40625$

Soal b

$5^2 times (frac{2}{5})^3 times (frac{2}{5})^5\= 5^2 times (frac{2}{5})^{3 + 5}\= 5^2 times (frac{2}{5})^8\= 5^2 times frac{2^8}{5^8}\= 5^2 times 5^{-8} times 2^8\= 5^{2 + (-8)} times 2^8\= 5^{-6} times 2^8\= frac{1}{5^6} times 2^8\= frac{256}{15625}$