Answer:
<h3>1.</h3>
The expression is
We need to solve each power: .
The Greatest common factor between 27 and 216 is 27, so we extract that
, which is the simplest form.
<h3>2.</h3>
The expression is
Notice that bases are equal, that means we need to sum exponents only to find the simplest form
<h3>3.</h3>
The expression is
Here we transform the root into a fractional exponent.
<h3>4. </h3>
The expression is
Here we need to express it as the root of a fraction
Then, we divide
<h3>5.</h3>
The equation is
First, we move the term 5 to other side, then we elevate the equality to the square power to eliminate the square root. Consequently, we have to solve the square power of the binomial x+5:
Then, we move all terms to one side
Now, we have to find to numbers which product is 12 and which sum is 8, those numbers are 6 and 2:
The solutions are -6 and -2.
<h3>6.</h3>
The expression is
First, we subtract the equation by 3, then we divide by 3:
Then, we elevate each side to the fifth power to eliminate the root
Now, we apply a cubic root to each side