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2 years ago

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]2 years 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

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