Find the square root of a perfect square

Mathematics

1 answer:

Natali5045456 [20]2 years ago

3 0

<h2>Here are the steps for finding square root </h2>

Using this method, first we have to split the given number into prime factors.

Write those prime factors inside the radical sign instead of the given number.

Inside the radical sign, if the same number is repeated twice, take one number out of the radical sign.

Multiply the numbers which have come out from the radical sign

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Which expression is equivalent to the quantity five raised to the negative second power times three raised to the fifth power en

serg [7]

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

<h3>How to determine the equivalent expression?</h3>

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:

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