Question

Write 32x5y5 with only one exponent. Use parentheses

Answer 1

Hint:\[ax ^{b}y ^{b}=a(xy)^{b}\]

Answer 2

ok so 32(xy)^10

Answer 3

Not really. You multiplied the exponent (5) by two when it was not required to do so.

Answer 4

hmmm
32 = 2^?

Answer 5

so would u multiplie 5*5 which is 25

Answer 6

No. If you read the hint again you will see that the original exponent stays the same value.

Answer 7

ok im sorry im really bad at math.so if the exponet stays the same then would it be 35(xy)^5

Answer 8

Yes, you got it. Also as RolyPoly pointed out 32 = 2^5. So you can replace 32 with the number 2 inside the brackets.

Answer 9

yes thank you very much

Answer 10

You're welcome :)

Answer 11

So did you get the following:
\[(2xy)^{5}\]

Answer 12

would that be 2*2*2*2*2=32 and would still come out to be 32(xy)^5

Answer 13

yes

Answer 14

\[(2xy)^{5}\]
is the most concise answer. However you could put 32 outside the brackets instead of putting 2 inside the brackets if you like.

Answer 15

\[[ (-1)^5 \(-2)^-3]^2\]

Answer 16

i have to Simplify the expression

Answer 17

-1^5/-2^-6

Answer 18

(a^x)^y=a^xy

Answer 19

so how would i get the answer