Question

Simplify the expression where possible.

(r -3s 2t ) 4

Answer 1

The answer to (r -3s2t)4 is 4r- 24st

Answer 2

Answer:

$\dfrac{s^8t^4}{r^{12}}$

Step-by-step 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

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

$r^{-12}\cdot s^{8} \cdot t^4$

$\frac{s^{8} \cdot t^4}{r^{12}}$

$\frac{s^{8}t^4}{r^{12}}$

Therefore, the simplified form of the given expression is $\dfrac{s^8t^4}{r^{12}}$.