Which expression is equivalent to the quantity seven raised to the negative second power times three raised to the fifth power end quantity all raised to the negative second power?

I need help plsss

Respuesta :

The expression equivalent to information stated is 2401/ 59049

How to determine the expression

From the information given, we have:

[tex](7^-^2 * 3^5)^-^2[/tex]

First, we expand the quantities in the bracket

7^-2 = 1/ 7² = 1/ 49

3^5 = 3 × 3 × 3 × 3× 3 = 243

Now, let's substitute the values

[tex]( \frac{1}{49} ) * 243)^-^2[/tex]

Let's take the inverse square of the values

[tex]49^2 * (\frac{1}{243}) ^2[/tex]

Take the square

[tex]2401 * \frac{1}{59049}[/tex]

= 2401/ 59049

Thus, the expression equivalent to information stated is 2401/ 59049

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