How the exponent can be multiplied?

D

Step-by-step explanation:

The answer is D, because it is saying for you to do,

2⁶ multiplied 5 times in a row,

2⁶×2⁶×2⁶×2⁶×2⁶ and this is equal to 2³⁰.

Option D

Step-by-step explanation:

Whenever we multiply the same numbers with different exponents, we write the same number and add the exponents.

Example: (1/5)^2 x (1/5)^6

=> (1/5)^2 + 6

=> (1/5)^8

Example: 7^3 x 7^8

=> 7^3+8

=>7^11

Whenever we divide the same number with different exponents, we write the same number and subtract  the exponents.

Example: 9^3 / 9^4

=> 9^3-4

=> 9^-1

Whenever there is an number with the exponent, and there is an exponent outside the bracket, then we multiply.

Example: (2^6)^-5

=> 2^6 x -5

=> 2^-30

So, the Answer is D.

b

step-by-step explanation:

the equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b) a point on the line

calculate m using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (0, 4) and (x₂, y₂ ) = (3, - 5) ← 2 points on the line

m = = = - 3

with m = - 3 and (a, b) = (3, - 5), then

y - (- 5) = - 3(x - 3), that is

y + 5 = - 3(x - 3) → b