Question

simplify and write (2^2)^100 in exponential form​

Answer 1

SOLUTION

TO DETERMINE

To simplify and in exponential form

$\sf{ { \big( {2}^{2} \big)}^{100} }$

FORMULA TO BE IMPLEMENTED

We are aware of the formula on indices that

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

EVALUATION

Here the given expression is

$\sf{ { \big( {2}^{2} \big)}^{100} }$

We now simplify it as below

$\sf{ { \big( {2}^{2} \big)}^{100} }$

$\sf{ = { 2}^{(2 \times 100)} } \: \: \bigg( \: \because \: { \big( {a}^{m} \big)}^{n} = {a}^{mn} \bigg)$

$\sf{ = {2}^{200} }$

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Answer 2

Answer

=2^200

Step-by-step explanation:

=(2^2)^100

=2^100*2                by using[(a^m)^n=a^m*n]

=2^200

Pls mark Brainiest