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myrzilka [38]
3 years ago
10

Simplify the expression where possible. (r -3s 2t ) 4

Mathematics
2 answers:
Molodets [167]3 years ago
6 0

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}}.

igor_vitrenko [27]3 years ago
4 0
The answer to (r -3s2t)4 is 4r- 24st
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