Question

Find the product a² x 2a²² x4a²​

Answer 1

Answer:

(4a^2)^22

Step-by-step explanation:

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Answer 2

$\sf {a}^{2} \times 2 {a}^{22} \times 4 {a}^{2} = 8 {a}^{26}$

Given :

$\sf {a}^{2} \times 2 {a}^{22} \times 4 {a}^{2}$

To find :

To simplify the expression

Formula :

We are aware of the formula on indices that

$\sf {a}^{m} \times {a}^{n} = {a}^{m + n}$

Solution :

Step 1 of 2 :

Write down the given expression

The given expression is

$\sf {a}^{2} \times 2 {a}^{22} \times 4 {a}^{2}$

Step 2 of 2 :

Simplify the given expression

We apply the formula

$\boxed{ \: \: \sf {a}^{m} \times {a}^{n} = {a}^{m + n} \: \: }$

Then the given expression

$\sf = {a}^{2} \times 2 {a}^{22} \times 4 {a}^{2}$

$\sf = (2 \times 4) \times {a}^{2} \times {a}^{22} \times {a}^{2}$

$\sf = (2 \times 4) \times {a}^{2 + 22 + 2}$

$\sf = 8 {a}^{26}$