Question

The sides of a square are three to the power of two sevenths inches long. What is the area of the square?

Answer 1

nine to the power of four sevenths square inches

three to the power of four sevenths square inches

three to the power of the fraction four over forty nine square inches

nine to the power of the fraction four over forty nine square inches

Answer 2

so the side length is

\[3^{\frac{2}{7}}\]

then the area is

\[A = 3^{\frac{2}{7}} \times 3^{\frac{2}{7}}\]

so use the indea lat form multiplying the same base.... add the powers

\[x^a \times x^b = x^{a + b}\]

Answer 3

Im not good at this can u show me how?

Answer 4

add you need to do is add the fractions... both numbers have 3 as a base

Answer 5

Okay so 3 and 4/14

Answer 6

But there is no answer like that

Answer 7

So how do I find the answer?

Answer 8

no, when you add fractions with the same denominator... just add the tops


5/11 + 2/11 = 7/11

notice the denominator doesn't change

Answer 9

So what will be the answer?

Answer 10

well go back and add the 2 fractions...

Answer 11

thats what I did and it ended up 3 and 4/14

Answer 12

Could u show me how to do it Im really bad at this

Answer 13

here is a link to a fractions calculator...

try it

http://www.calculatorsoup.com/calculators/math/adding-fractions-calculator.php

Answer 14

or on your calculator

2/7 + 2/7

and see what you get

Answer 15

And?

Answer 16

Im stuck I dont know what to do

Answer 17

just add the numerators... and leave the denominator as 7

Answer 18

4?

Answer 19

so using your idea

if you have

1/2 cheese pizza another 1/2 of mushroom pizza you only have 1/4 of a pizza

Answer 20

so 4 over what...?

Answer 21

7

Answer 22

3 and 4 over 7

Answer 23

there you go... that's the answer