Kristen was asked to write each of the numbers in the expression 80,000 x 25 using exponents. Her response was (8 x 10 to the power of 3) x 5 to the power of 2. Was Kristen's response correct? Explain.

Answer :

Kriste respone is wrong

Solution:

Given that,

Kristen was asked to write each of the numbers in the expression 80,000 x 25 using exponents

Her response was (8 x 10 to the power of 3) x 5 to the power of 2

No, the response of Kristen is wrong

Let us first understand about exponents

An exponent refers to the number of times a number is multiplied by itself

Given expression is:

[tex]80000 \times 25[/tex]

Here, 80000 has 4 zeros

Therefore, it can be raised as 10 power 4

[tex]80000 = 8 \times 10^4[/tex]

Thus the expression becomes:

[tex]80000 \times 25 = 8 \times 10^4 \times 25[/tex]

Also, 25 can be written as 5 power 2

[tex]80000 \times 25 = 8 \times 10^4 \times 5^2[/tex]

Thus given expression is written as (8 x 10 to the power 4) x 5 power to the power 2

Thus Kristen respone is wrong, because he has raised 10 to power 3

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