12.6k views
4 votes
Simplify
25x5^2xt^8 / 10^3xt^4

User Prosti
by
7.7k points

1 Answer

4 votes

Answer:

1/ (8/5)xt^4

Explanation:

To simplify the expression, we'll start by simplifying the exponents.

25x(5^2)xt^(8-4) / (10^3)xt^4

= 25x25xt^4 / (10x10x10)xt^4

= 625xt^4 / 1000xt^4

Next, we'll simplify the fractions by dividing the numerator and denominator by the greatest common factor (GCF) of 625 and 1000, which is 625.

= 625xt^4 / 1000xt^4

= (625/625)xt^4 / (1000/625)xt^4

= 1 / (1000/625)xt^4

The final simplified expression is:

1/ (8/5)xt^4

You can also rewrite the final simplified expression as:

5/8xt^4

The units of the final simplified expression are inxt^4

User MER
by
8.6k points

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