82. use properties of exponents to rewrite each expression with only positive, rational exponents. then find the numerical value of each expression when x = 9, y= 8, and z= 16. in each case, the expression evaluates to a rational number.
b. 11√y2z4

11yz² and when evaluating we get 22528

Step-by-step explanation:

We have the expression

We know that a square root is a 1/2 exponent, so we're going to multiply the exponents of y and z by 1/2.

Therefore the expression is rewritten as

Now we're going to evaluate this expression for y = 8 and z = 16

Thus, when evaluated the result is 22528

b. an equilateral triangle inscribed in a circle

step-by-step explanation:

we are given the figure of two circles having a triangle inside.

now, we know that,

"when a figure is lying inside an another figure, then the outside figure is known as circumscribed figure and the figure lying inside is referred to as the inscribed figure".

as we see that, the circles are containing the triangle completely.

thus, the circles are the circumscribed figures and the triangle is the inscribed figure.

hence, we get, 'an equilateral triangle is inscribed in a circle'.