Question

What is the answer of (x²)²???

Answer 1

To find the answer for (x²)² is times the index number together which is x⁴

Answer 2

(x²)² = x⁴

Given :

The expression (x²)²

To find :

Simplify the expression

Formula :

We are aware of the formula on indices that

$\displaystyle \sf{ { ({a}^{m} )}^{n} = {a}^{mn} }$

Solution :

Step 1 of 2 :

Write down the given expression

The given expression is (x²)²

Step 2 of 2 :

Simplify the given expression

$\displaystyle \sf{ {( {x}^{2} )}^{2} }$

$\displaystyle \sf{ = {x}^{(2 \times 2)} } \: \: \bigg[ \because \: \: \displaystyle \sf{ { ({a}^{m} )}^{n} = {a}^{mn} } \: \bigg]$

$\displaystyle \sf{ = {x}^{4} }$

━━━━━━━━━━━━━━━━

Learn more from Brainly :-

$1.$ choose the correct alternative : 100¹⁰⁰ is equal to (a) 2¹⁰⁰ × 50¹⁰⁰ (b) 2¹⁰⁰ + 50¹⁰⁰ (c) 2² × 50⁵⁰ (d) 2² + 50⁵⁰

https://brainly.in/question/47883149

2. Using law of exponents, simplify (5²)³÷5³

https://brainly.in/question/36250730