Astudent claims that 8^3 • 8^-5 is greater than 1. explain wheather the student is correct or not.

The student is right. Because when multiplying both numbers, we have to multipy the exponents together. And in this case we are going to get 8^-15. And when it is simplified, it is actually bigger than 1.

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'.

answer

the correct answer is

explanation

the given function is

the excluded values are obtained by solving:

we factor to obtain:

the excluded values are