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Nana76 [90]
1 year ago
11

Evaluate the quantity 3 squared times 3 to the power of negative 5 end quantity over 5 to the power of negative two.

Mathematics
1 answer:
chubhunter [2.5K]1 year ago
7 0

The value of the expression given as  [3² * 3⁻⁵]/[5⁻²] is 25/27

<h3>How to evaluate the expression?</h3>

The expression is given as:

3 squared times 3 to the power of negative 5 end quantity over 5 to the power of negative two

Rewrite properly as:

[3² * 3⁻⁵]/[5⁻²]

Apply the negative exponent law of indices

So, we have

[3² * 3⁻⁵]/[5⁻²] = [5²]/[3⁻² * 3⁵]

Apply the exponent law of indices

[3² * 3⁻⁵]/[5⁻²] = [5²]/[3³]

This gives

[3² * 3⁻⁵]/[5⁻²] = 25/27

Hence, the value of the expression given as  [3² * 3⁻⁵]/[5⁻²] is 25/27

Read more about expressions at:

brainly.com/question/723406

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Step-by-step explanation:

1. Distribute the 9 to the k and the -4 in the parentheses.

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3. Now you should have the equation 2k - 36 = 48 - 2k.

You want the k on one side of the equation so you need to cancel out one of them. I cancelled out -2k by adding 2k to it. You also need to add this 2k to your 2k on the other side of the equation.

Ex: 2k - 36 = 48 - 2k

   +2k                +2k

4. Now you should have 4k - 36 = 48. You need to get 4k by itself so cancel out -36 from both sides by adding 36 to -36 and adding 36 to 48.

You should now have 4k = 84 (48 + 36 = 84).

Divide both sides by 4 to get k by itself. 4 divided by 4 makes k and 84 divided by 4 equals 21. This makes k = 21, which is your answer.

   

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