Simplify the following expression to simplest form using only positive exponents. (32x^5y^-35)^-(3)/(5) Answer Attemptiout of 2 square

Question

Simplify the following expression to simplest form using only positive exponents. (32x^5y^-35)^-(3)/(5) Answer Attemptiout of 2 square

Answer 1

To simplify the expression \((32x^{5}y^{-35})^{-\frac{3}{5}}\), we will apply the rules of exponents step by step.First, let's rewrite the expression inside the parentheses with positive exponents:

We can rewrite

as

:

Now, we need to apply the exponent

to this fraction:

When raising a fraction to a power, we raise both the numerator and the denominator to that power:

Next, apply the exponent

to both the numerator and the denominator separately.For the numerator:

For

, recall that

:

For \((x^5)^{-\frac{3}{5}}\):

So, the numerator becomes:

For the denominator:

So, the denominator becomes:

Now, combine the simplified numerator and denominator:

Thus, the simplified form of the expression is:

Question

Simplify the following expression to simplest form using only positive exponents. (32x^5y^-35)^-(3)/(5) Answer Attemptiout of 2 square

Solution

Resposta