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Simplify the expression

Simplify the expression-example-1
User Dalius
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1 Answer

6 votes


(2.5a^(8n))^3 . (0.4^(7n))^3 = 15.625 * a^(24n) * (0.4^(21))^n

Solution:

We have to simplify the given expression

Given expression is:


(2.5a^(8n))^3 . (0.4^(7n))^3

Use the law of exponent


(a^m)^n = a^(mn)

Thus the given expression becomes,


(2.5a^(8n))^3 . (0.4^(7n))^3 = (2.5)^3(a)^(8n * 3) * (0.4)^(7n * 3)

Simplify the exponents


(2.5a^(8n))^3 . (0.4^(7n))^3 = 15.625 * a^(24n) * 0.4^(21n)

Again use the law of exponent for
0.4^(21n)


0.4^(21n) = (0.4^(21))^n

Substitute in above expression


(2.5a^(8n))^3 . (0.4^(7n))^3 = 15.625 * a^(24n) * (0.4^(21))^n

Thus the given expression is simplified

User Benyi
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7.6k points