Question

5 to the power 200 is equal to​

Answer 1

Answer:

a^m+ a^n

a^m+n

5^100×5^100

Answer 2

SOLUTION

CORRECT QUESTION

TO CHOOSE THE CORRECT OPTION

5²⁰⁰ is equal to

1) 5¹⁰⁰ + 5¹⁰⁰

2) 2¹⁰⁰ + 3¹⁰⁰

3) 5¹⁰⁰ × 5¹⁰⁰

4) 5¹⁰⁰ × 5²

FORMULA TO BE IMPLEMENTED

We are aware of the formula on indices that

$\sf1. \: \: {( {a}^{m} )}^{n} = {a}^{mn}$

$\sf \: 2. \: \: {a}^{m} \times {a}^{n} = {a}^{m + n}$

EVALUATION

Here the given expression is

$\sf {5}^{200}$

We simplify it as below :

$\sf {5}^{200}$

$\sf = {5}^{100 + 100} \: \: \: \: \:$

$\sf = {5}^{100} \times {5}^{100} \: \: \: \: [ \because \: {a}^{m} \times {a}^{n} = {a}^{m + n} ]$

FINAL ANSWER

Hence the correct option is 3) 5¹⁰⁰ × 5¹⁰⁰

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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

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

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