97.7k views
0 votes
Which expression is equivalent to 10^2•10^4?

A) 10^2

B) 10^4

C) 10^6

D) 100^6

2 Answers

2 votes

Hey there!

ORIGINAL EQUATION:
10^2 * 10^4

~|~|~|~|~|~|~|~|~|~|~|~|~|~|~|~|~|~|~|~|~|~|~|~|~
10^2

= 10 * 10

= 100

|~|~|~|~|~|~|~|~|~|~|~|~|~|~|~|~|~|~|~|~|~|~|~|~|
WORKING OUT THE EQUATION:

10^4

= 10 * 10 * 10 * 10

= 100 * 100

= 10,000

~~|~~|~~|~~|~~|~~|~~|~~|~~|~~|~~|~~|~~|~~|~|
MET THE OVERALL ANSWER:
100 * 10,000

= 1,000,000

||~~||~~||~~||~~||~~||~~||~~||~~||~~||~~||~~||~~||
PROCESS OF ELIMINATION:
Option A.
10^2

= 10 * 10

= 100

Option A. is incorrect because it’s too small!
—————————————————————

Option B.
10^4

= 10 * 10 * 10 * 10

= 100 * 100

= 10,000

Option B. is also incorrect because it is too small just like Option A.
—————————————————————

Option C.
10^6

= 10 * 10 * 10 * 10 * 10 * 10

= 100 * 100 * 100

= 10,000 * 100
= 1,000,000

Option C. is could possibly be your answer because it is equivalent to the overall answer.
—————————————————————

Option D.

100^6

= 100 * 100 * 100 * 100 * 100 * 100

= 10,000 * 10,000 * 10,000

= 100,000,000 * 10,000

= 1,000,000,000,000
Optipn D. is incorrect is also incorrect because it too big.

~~~|||~~~|||~~~|||~~~|||~~~|||~~~|||~~~|||~~~|||~
MET THE QUESTION ANSWER:

Option C. 10^6
/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\

Good luck on your assignment & enjoy your day!


~Amphitrite1040:)

User Maurizio Reginelli
by
4.8k points
2 votes

Answer: C.) 10^6

Step-by-step explanation: When multiplying same-numbers with exponents, you only need to add the exponents. In this case, that’s 2 and 4.

User Marcosdsanchez
by
5.9k points
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.