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### Course: 6th grade (Illustrative Mathematics)>Unit 6

Lesson 13: Lesson 13: Expressions with exponents

# Exponents of decimals

Solve exponent expressions with decimal bases.

## Want to join the conversation?

• how do you do 10 to the 12 power
• 10 to the 12th power would be 10 times 10 times 10 times 10 times 10 times 10 times 10 times 10 times 10 times 10 times 10 times 10. The answer would be 1000000000000
• At the end of the video sals says another way to think about it is "9 tenths of 9 tenths is 81 hundreths"

But isn't 0.9/0.9 = 1?
• "Of" refers to multiplication; He's saying 0.9*0.9 = 0.81
• 0.9 x 0.9= 0.81? I see the math and understand how it is done. But 0.81 is smaller than 0.90? How does a bigger number (0.9) multiplied by itself ended up being smaller?
• I think it's because they are decimals, so when they are multiplied, they go backwards instead of forwards. Is that helpful at all? It probably isn't. I hope I didn't confuse you more!
• A lot of the time when I'm stuck on an equation I tend to watch the video a few times and sometimes it still doesn't help because the person on the video does a lot of the math in their head and that's where it loses me is there any way for me to get one-on-one help?
• Hi Christine,
Yes, I have that problem sometimes too. Sal (in the voiceover) usually does the mental math faster than we can catch up. Unfortunately there is no feature here that you can get one-on-one help. (or not that I know of)

What I would suggest it to pause the video and try to do the math yourself on a piece of paper or in your head. If you don't get that math, you could try searching up how to do it here on Khan Academy.
• Why does a number get smaller when you multiply it?Isn't it going to be larger?
• It gets smaller with numbers less than 1 like the decimal 0.25 * 0.5. The example = 25*5=125 and then we put the decimal place in front of the 1 to make 0.125(It doesn't always have to be in front of the first number, it can go before that and you substitute the empty digits with 0)
• Would zero to the zeroth power be one or zero?
• i think it would be just a 0
• What is 0 to the power of 0?
• 0 to the power of 0 = 1
• how do you use a exponent when using a fraction, for example (2/5) and 3 is a exponent.
• You have to convert the fraction (2/5) to a decimal (0.4) than you can use the exponent (3) so 0.4x0.4x0.4= 0.064 hope this helps
(1 vote)
• what is 24 to the power of 5