Question

Which expression is equivalent to the quantity five raised to the negative second power times three raised to the fifth power end quantity all raised to the negative second power?
three raised to the third power divided by five raised to the fourth power
negative three raised to the third power divided by five raised to the fourth power
five raised to the fourth power divided by three raised to the tenth power
negative five raised to the fourth power divided by three raised to the tenth power

Answer 1

The equivalent expression is 5^(4) * 3^(-10)

How to determine the equivalent expression?

The statement is given as:

five raised to the negative second power times three raised to the fifth power end quantity all raised to the negative second power

Rewrite properly as:

(5^-2 * 3^5)^-2

Expand the expression by multiplying the exponents

So, we have:

5^(-2 -2) * 3^(5 *-2)

Evaluate the products

5^(4) * 3^(-10)

Hence, the equivalent expression is 5^(4) * 3^(-10)

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