Help this is due today.

 Dominic,  5⁵ · 5² = 5⁷

5⁵ means 5×5×5×5×5, five factors of 5.

5² means 5×5, two factors of 5.

When we multiply these together we get 7 factors of 5:

5⁵ × 5² = (5×5×5×5×5)×(5×5) = 5×5×5×5×5×5×5 = 5⁷

Multiplication of powers of a common base are simple; we keep the base and add up the exponents to get the exponent of the product.

isaiah walks 3 miles due north, turns and then 5 miles due east. how far is he from his starting point?

a^2 + b^2 = c^2

let c = distance from starting point.

(3)^2 + (5)^2 = c^2

9 + 25 = c^2

34 = c^2

sqrt{34} = sqrt{c^2}

sqrt{34} = c

answer: (-8,4) are the coordinates of a

step-by-step explanation:

let the side of square abcd is x .

thus the area of square abcd is .

now, by the diagram area of triangle ead= 1/2 × ea × ad = 1/2 × ea × x

( because ad is the side of square)

and, according to the question,

the areas of square abcd and right ead are equal.

⇒

⇒ea=2x

thus, ea: ab=2: 1

therefore, point a divides line segment eb into the ratio 2: 1.

⇒ by sectional formula coordinates of a are,

=

=

=(-8, 4)

thus the coordinates of a are (-8,4)