2.103×10^?=210,300,000

What power of 10 would make this equation true?

1 answer

To find the power of 10 that makes the equation \( 2.103 \times 10^? = 210,300,000 \) true, we can start by expressing \( 210,300,000 \) in scientific notation.

We can write \( 210,300,000 \) as:

\[ 210,300,000 = 2.103 \times 10^8 \]

Now, we have the equation:

\[ 2.103 \times 10^? = 2.103 \times 10^8 \]

Since the coefficients \( 2.103 \) on both sides are equal, we can equate the powers of 10:

\[ ? = 8 \]

Therefore, the power of 10 that makes the equation true is:

\[ \boxed{8} \]