After a lesson on exponents,Tia went home and said to her mom,"I learned that 10 to the power of 4 is the same as 40,000." She has made a mistake in her thinking. Use words,numbers, or a place value chart to help Tia correct her mistake.

Verified Answer :

Tia went home and said to her mom,"I learned that 10 to the power of 4 is the same as 40,000."

Tia made a mistake in her thinking. Exponent represents the number of zeros.

\(10^4\) means we multiply 10 four times

\(10^4= 10*10*10*10=10000\)

For exponent 4, we put 4 zeros. So answer is 10,000.


Answer:

\(10^{4}\) = 10 × 10 × 10 × 10 = 10,000

Step-by-step explanation:

After a lesson on exponents, Tia said to her mom, "I learned that 10 to the power of 4 is the same as 40,000."

In Mathematics, 10 to the power of 4,conventionally is written as \(10^{4}\) which means ten multiplied by itself a certain number of times (given exponent).

She is saying \(10^{4}\) that is 10 × 10 × 10 × 10 this would be equal to 10,000.

Thus, we can write

10 to the power of 4 = \(10^{4}\) = 10 × 10 × 10 × 10 = 10,000