Question

??? Simplify the equation

Answer 1

(4^3)^5

= 4^(3*5)

= 4^15

Its D

Please note that this is not an equation ( no = sign), Its best described as an exponential expression.

Answer 2

`\boxed{4^(15)}`

Explanation:

The exponent of the term decides how much times does the base needs to multiply itself. Let (4³)⁵ be known as the base (Refer to bolded text) and (4³)⁵ be known as the exponent (Refer to bolded text).

`\rightarrowtail (4^(3))^(5)`

`\rightarrowtail 4^(3) * 4^(3) * 4^(3) * 4^(3) * 4^(3)`

Since the terms are being multiplied by each other, we can simply add the exponents.

`\rightarrowtail (4)^(3) * (4)^(3) * (4)^(3) * (4)^(3) * (4)^(3)`

`\rightarrowtail (4)^(3 + 3 + 3 + 3 + 3)`

`\rightarrowtail (4)^(15)`

Thus, the simplified term is 4¹⁵.