2 Answers

Laurence · Answer 1 · 2020-01-19T00:29:16+0000

Answer:

(s^8t^4)/(r^(12))

Explanation:

Let as assume that the given expression is

(r^(-3)s^2t)^4

We need to find the simplify the given expression.

Using the distributive power property of exponent we get

$(r^(-3))^4\cdot (s^2)^4\cdot (t)^4$
$[\because (ab)^m=a^mb^m]$

Using rules of exponents we get

$r^(-3* 4)\cdot s^(2* 4) \cdot t^4$
$[\because (a^m)^n=a^(mn)]$

$r^(-12)\cdot s^(8) \cdot t^4$

$(s^(8) \cdot t^4)/(r^(12))$

(s^(8)t^4)/(r^(12))

Therefore, the simplified form of the given expression is
(s^8t^4)/(r^(12)) .

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