Simplify:

(−2x4y7)5
(1 point)
Responses

−10x20y35
negative 10 x to the 20th power y to the 35th power

−32x20y35
negative 32 x to the 20th power y to the 35th power

32x20y35
32 x to the 20th power y to the 35th power

−10x9y12

1 answer

None of the given options are correct.

To simplify the expression (-2x^4y^7)^5, we need to apply the power of a power rule, according to which we multiply the exponents.

(-2)^5 = -32
(x^4)^5 = x^(4*5) = x^20
(y^7)^5 = y^(7*5) = y^35

Therefore, the simplified expression is -32x^20y^35.
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