Question

25*t^-4/5^-3*10*t^-8(t is not equal to 0

Answer 1

Answer:

625/2 t⁴

Step-by-step explanation:

see the attachment

Answer 2

Given,

$(25 \times t ^{ - 4} \div 5 ^{ - 3} \times 10 \times t ^{ - 8)}$

To find,

The simplified value of the given expression.

Solution,

The simplified value of the given expression will be 625t⁴/2.

We can easily solve this problem by following the given steps.

According to the question,

We know that if we shift a number with its power from the numerator to the denominator or from the denominator to the numerator then the sign of the power gets changed.

Now, moving 5^(-3) and t^(-8) to the numerator,

[25×5³×t^(-4)×t^(-8)]/10

We know that the powers with the same base get added in the multiplication,

25×5³×t⁴/10

Dividing 25 and 10 by 5,

5×5³×t⁴/2

5⁴×t⁴/2

625t⁴/2

Hence, the simplified value of $(25 \times t ^{ - 4} \div 5 ^{ - 3} \times 10 \times t ^{ - 8)}$ is 625t⁴/2.