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VLD [36.1K]
3 years ago
9

Write the prime factorization of 500 in index form.

Mathematics
2 answers:
makvit [3.9K]3 years ago
8 0

Answer:

2^{2} × 5^{3}

Step-by-step explanation:

500

= 2 x 250

= 2 x 10 x 25

= 2 x 2 x 5 x 5 x 5

= 2^{2} × 5^{3}

vovangra [49]3 years ago
4 0

Answer:

#refer to the attachment!!

Factors \:of \:500

\\ \longmapsto 1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, and 500.

Prime \:Factorization \:of\: 500

\\ \longmapsto 500=2^{2} × 5^{3}

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Consider the following system of equations:
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Which expression is equivalent to (3b 2r) (4b r)? 7b 2r 7b 3r 12b 2r 12b 3r.
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To add the variables, add the coefficients with same variable. The expression which is equivalent to given expression is 7b+3r. The option 2 is the correct option.

<h3>What is equivalent expression?</h3>

Equivalent expression are the expression whose result is equal to the original expression, but the way of representation is different.

Given information-

The expression given in the problem is,

(3b+2r)+(4b+r)

Let the resultant expression of the above expression is x. thus,

x=(3b+2r)+(4b+r)

To add the algebraic terms open the brackets first,

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Separate the same variable terms,

x=3b+4b+2r+r

To add the variables, add the coefficients with same variable. Thus,

x=7b+3r

Hence, the expression which is equivalent to given expression is 7b+3r. The option 2 is the correct option.

Learn more about the equivalent expression here;

brainly.com/question/2972832

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