Question

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.

Answer 1

`10^(4)` = 10 × 10 × 10 × 10 = 10,000

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

Answer 2

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.