Question

Which expression is equivalent to
(Q^5)^2

Answer 1

Q¹⁰

Explanation:

Given that,

• (Q⁵)^2

Solution:

Well,there is a law of exponents,which states that:

• (a^b)^c = a^bc

Same case is here as well.

Just multiply both powers given.

• (Q⁵)²

5*2 = 10

• Q¹⁰

Hence, the expression equivalent to (Q⁵)² is (Q)¹⁰

Answer 2

The correct value that equates to this expression is q¹⁰

.

To solve this expression, just:

• eliminate the parentheses and multiply the exponents among themselves;
  `\boxed{ \large \sf (a {}^(n) ) {}^(m) \rightarrow a {}^(n * m) } \\ \\`

Resolution

`{ = \large \sf (q {}^(5) ) {}^(2) }`

`{ = \large \sf q {}^(5 * 2) }`

`\pink{ \boxed{ = \large \sf q {}^(10) } } \\`

Therefore, the answer will be q¹⁰