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:

100,000,000 grams = 1 metric ton.

Step-by-step 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.

Answer 2

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.