Question

Evaluate the following (8 ^ - 1 * 5 ^ 2)/(2 ^ - 4)​

Answer 1

Answer:

50

Step-by-step explanation:

$\frac{8^{-1} * 5^{2}}{2^{-4}}$

So what we do here is convert the negative exponents into positive exponents. So we will bring 8 down and move 2 up... so each of them will have a positive exponent. It will result in this:

$\frac{1 * 5^2 * 2^4}{8^1}$

Now we will simplify the exponents and make them whole numbers.

So that will be $5^2$ will be 5 × 5 and $2^4$ = 2 × 2 × 2 × 2

That will result in:

$\frac{1 * 25 * 16}{8}$

Now we will cancel 16 and 8 which will result in 2 and 1. 16 will become 2 and 8 will become 1.... this is simplifying. It will look like this:

$\frac{1 * 25 * 2}{1}$

This will now result in 1 × 25 × 2 = 50

Therefore, your answer after evaluating this would be 50.

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Hope it helps

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Edit 1: this is just one method... another method with which you can solve this is by 1st simplifying and breaking down the 8 into $2^{-1}$ * $2^{-1}$ * $2^{-1}$ and then cancelling them with  $2^4$

Answer 2

Answer:

please like it and Mark it as a brainlist