Question

measurements in the metric system, you would need to have (10^4)^2 grams to equal 1 metric ton. simplify this measurement by multiplying the exponents, then simplify by finding the actual numbers of grams needed to equal 1 meyriv ton.

Answer 1

Answer: You would need 10^8 or 100,000,000 grams to equal a metric ton.

We are starting with the number (10^4)^2. This means that we have 10^4 times times 10^4.

Or 10 x 10 x 10 x 10 x 10 x 10 x 10 x 10 = 10^8

If we multiply it out, we have a 1 with 8 zeros. Or 100 million.

Answer 2

100,000,000 grams = 1 metric ton.

Explanation:

Given:

`(10^(4))^2` grams = 1 metric ton.

Now we have to find the actual grams by simplifying the exponents.

We have to use the exponent power of power rule to simplify the exponents.

`(a^(m))^n = a^(mn)`

`(10^(4))^2` =
`(10^(4x2))`

=
`(10^(8))`

This is 10 to the power 8, it means we need to multiply 10 itself by 8 times.

`(10^(8))` = 10.10.10.10.10.10.10.10 = 100,000,000

So, 100,000,000 grams = 1 metric ton.