Question

(4x^5)^3 what is the equivalent?

[A] 4x^5+3
[B] 4x^5*3
[C] 4^3x^5+3
[D] 4^3x^5*3

Answer 1

A

Explanation:

They are different exponents but they have the same bas so you add them up.

4x^5+3 = 4x^8

Answer 2

`\pink{ \boxed{\boxed{\begin{array}{cc} \maltese \bf \: \: as \: we \: know \: that \\ \\ \bf\: \: \rightarrow \: {(xy)}^(n) = {x}^(n) . {y}^(n) \\ \\ \bf \rightarrow \: {( {a}^(m) })^(n) = {a}^(m * n) \\ \\ \bf \: now \\ \: \\ \blue{ {\boxed{\begin{array}{cc} \maltese \bf\: \: \: {(4 {x}^(5) })^(3) \\ \bf = {4}^(3) * ({x}^(5) )^(3) \\ \bf = {4}^(3) * {x}^(5 * 3) \end{array}}}}\end{array}}}}`

So option D) is the correct answer