Exponentiation is just a shortcut to write repeated multiplication. So, [tex]10^4[/tex] means that you have to multiply 10 by itself four times:
[tex]10^4=10\cdot10\cdot10\cdot10=10000[/tex]
Powers of ten, moreover, are a very special case: the number [tex]10^k[/tex] is always a 1 followed by k zeroes. In fact, in this case, [tex]10^4[/tex] is a 1 followed by 4 zeroes.
Tia's mistake is that she multiplied 4 by 10,000. Instead she needed to multiply 10 to itself, 4 times. Her math equation should be 10 x 10 x 10 x 10.
10 x 10 = 100. 100 x 10 = 1,000. 1,000 x 10 = 10,000. This equals 10,000.
Exponents
When using exponents (to the power of n), this requires the base number to be multiplied however many times the power indicates. 2⁴ is the same as 2 x 2 x 2 x 2 = 16.
Multiplying by 10
When a number is multiplied by 10, we just write a zero to the end of the number. For example, 10 x 2 = 20. The zero show that the 2 has moved from the ones place to the tens place. This can be used for any number divisible by ten. 100 has two zeros so you move the number over two places.
Subject: Math
Level: Middle School
Topic: Exponents
Dividing exponents: https://brainly.com/question/501957
Seven rules of exponents: https://brainly.com/question/3297755
