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

Lesson 13: Lesson 13: Expressions with exponents

# Powers of fractions

Just like whole numbers with exponents, fractions are repeatedly multiplied. If you know how to multiply fractions, you're over half way there. Created by Sal Khan.

## Want to join the conversation?

• hello I tried typing 2/3^2 in a calculator and I got a different answer than 8/27 how come
• This is because of the order of operations. by typing 2/3^2, you told the calculator to calculate 2 divided by 3 to the power of 2, rather that 2/3 to the power of 2. The order of operations makes it that you calculate exponents before division. To get the right answer, you should input: (2/3)^2. Also (2/3)^2 is 4/9, not 8/27. That is (2/3)^3. Hope this helps.
• where is the 1 coming from
• The one means a whole. with the Identity property of Multiplication ,this doesn't change the product.
• Ok I want to know how the barnacles you got 2 x2x2 is 8 plz tell me I think you got it wrong and I want you to tell straight up that’s right or wrong because if 2x2x2 is 6 so plz don’t give us missed information
• 2x2x2 equals 8,and if I break it down
2x2 = 4
4x2 = 8
I see the confusion, but 2 to the power of 3 is 2 times itself 3 times, rather than just 2 x 3
• So the fast way is,
Numerator^exponent
Denominator^exponent

Place the answer in the orignal form.
• how does .9 to the power of 2 not equal 8.1?
(1 vote)
• Remember the rules of multiplying decimals.
0.9 x 0.9
There are 2 decimal digits (1 in each number). So you answer needs 2 decimal digits.
0.9 x 0.9 = 0.81
• What is that carrot pointing up or down
(1 vote)
• What are you asking? Are you talking about ^ which represents exponents when you cannot superscript the number? Do not know what a carrot pointing down V means except the shape of an absolute value function or shortcot for Velocity.
• hello l tried typing 2/3^2 in a calculator and l got a different answer than 8/27 how come?
• Do you mean 2/3^3?
If you typed it into the calculator as 2/3^3 the calculator will follow the order of operations so it will only cube the 3, if you want to cube the whole fraction you have to put parenthesis around the fraction like (2/3)^3 so that it will cube the whole thing.