Question

Simplify (3a^2)^3

(2 and the last 3 are exponents)

I just wanted to double check my answer to make sure I'm doing this correct.

The answer would be: (6a)^6

Am I correct? Do the parenthesis need to be removed?

Answer 1

@sleepyjess @jabez177

Answer 2

@pooja195 @mathstudent55

Answer 3

@deltaforce209

Answer 4

32a2

Answer 5

So...after multiplying the 6 by the exponent 2 it needs to be multiplied by the exponent 6?

Answer 6

thats what i came up with so idk if i am on point correct but im pretty sure it is

Answer 7

You need to distribute the power of 3 into the equation....

\(\Large{(3^3a^{(2\times 3)})}\)

Answer 8

3a2 • 3
Step 2 :

Multiplying exponents :

2.1 31 multiplied by 31 = 3(1 + 1) = 32

Final result :

32a2

Answer 9

So...I feel like I'm getting conflicting answers or I just don't see how one plays out right...

Answer 10

which one mine i asked my teacher so it should be right

Answer 11

Delta's sounds right...most of the time I just don't take it far enough and it's usually a much bigger number than what I came up with.

Answer 12

thank you

Answer 13

Its not quite right. You need to distribute the exponent 3 into the equation which having two exponent like in this equation would multiply them....

Answer 14

But what would that equal out to?

Answer 15

Yes it does...

\(\LARGE{(3^{3}a^{(2\times 3)})}\)

Try simplifying.

Answer 16

28a5? Or does the entire thing need to be multiplied by the exponent 5?

Answer 17

Wait, 27 not 28.

Answer 18

Almost there :)

2 by 3 actually equals 6 since we have 3+3 or adding 3 twice...so it simplify to...

\(\LARGE{27a^{6}}\)

Answer 19

Oh shoot I read the x as a +. So it should be 27a6.

Answer 20

Yup :)

Answer 21

Okay, thank you! Both of you.

Answer 22

np :)

Answer 23

np