Simplify (4xy2)3(xy)5

Question

(1 point)
Responses

64x8y11
64 x 8 y 11

64x15y30
64 x 15 y 30

12x2y11
12 x 2 y 11

12x8y11
12 x 8 y 11
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Answer 1

To simplify (4xy^2)^3(xy)^5, we can first simplify each expression inside the parentheses.

(4xy^2)^3 simplifies to 64x^3y^6 because we raise each term inside the parentheses to the power of 3.

(xy)^5 simplifies to x^5y^5 because we raise each term inside the parentheses to the power of 5.

Now, we can combine the simplified expressions.

(64x^3y^6)(x^5y^5) equals 64x^3x^5y^6y^5, which simplifies to 64x^8y^11.

Therefore, the simplified expression is 64x^8y^11.

Answer 2

10 of 1010 of 10 Items

Question
Simplify (2t–3)3(0.4r)2
(1 point)
Responses

3.2r2
3.2 r 2

Image with alt text: 1.28 r squared divided by t to the negative 6

Image with alt text: 1.28 r squared divided by t to the 9

Image with alt text: 0.8 r squared divided by t to the negative 6
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Answer 3

To simplify (2t^-3)^3(0.4r)^2, we can first simplify each expression inside the parentheses.

(2t^-3)^3 can be simplified by raising each term inside the parentheses to the power of 3.

2^3 = 8
(t^-3)^3 = t^(-3*3) = t^(-9)

(0.4r)^2 can be simplified by squaring each term inside the parentheses.

0.4^2 = 0.16
(r)^2 = r^2

Now, we can combine the simplified expressions.

(8t^(-9))(0.16r^2) equals 1.28t^(-9)r^2.

Therefore, the simplified expression is 1.28t^-9r^2, which can also be written as 1.28r^2/t^9.