I need help on these problems?
1. (3xy^3)^2(xy)^6
2. (-5c^2d^4)^2(c^4d^7)^4
3. 4^3/4^1
4. t^8/t^2
5. x^2/x^5
Favorite Answer
(9x^2y^6)(x^6y^6)
9x^8y^12 <=ANSWER
2. (-5c^2d^4)^2(c^4d^7)^4
(25c^4d^8) (c^16d^28)
(25c^20d^36) <=ANSWER
3. 4^3/4^1
64/4
16 <=ANSWER
4. t^8/t^2
t^6 (cancel exponents: 8/6
5. x^2/x^5
x^-3 (negative exponent means we have to “turn” the digit, int his case it’ll be a fraction)
1/x^3 (1 over x^3
GOOD LUCK!!!
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The first half would look like this:
[9(x^2)(y^6)]
The second one would look like this:
[(x^6)(y^6]
Most problems like that in Algebra would now expect you to multiply those any farther, so your answer would be:
[9(x^2)(y^6)] x [(x^6)(y^6)]
#2 you do the same thing.
#3 Would be fairly simple.
Raise 4^3 and you get 4x4x4 = 64.
Then raise 4^1 and you get 4.
So basically divide 64 by 4.
64/4 = 16
#4is simple also. Divide t^8 by t^2, when you divide exponents you use subtraction. So the exponents are 8 and 2, simply subtract.
8-2=6
So the powers you have left over would be the exponent of t.
t^6
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