Simplify. Express your answer using exponents.
(2w^9 x^9)²
A) 4w^18 x^18
B) 2w^9 x^9
C) 2w^18 x^18
D) w^9 x^9
Simplify. Express your answer using exponents. (2w^9 x^9)²
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Simplify. Express your answer using exponents.
(2w^9 x^9)²
A) 4w^18 x^18
B) 2w^9 x^9
C) 2w^18 x^18
D) w^9 x^9
To simplify the expression ((2w^9 x^9)^2), we will apply the power of a product rule, which states that ((ab)^n = a^n b^n).
1. Square the coefficient and each variable term:
– The coefficient (2) squared is (2^2 = 4).
– (w^9) squared is (w^{9 times 2} = w^{18}).
– (x^9) squared is (x^{9 times 2} = x^{18}).
Putting it all together, we have:
[
(2w^9 x^9)^2 = 4w^{18} x^{18}
]
Therefore, the correct answer is A) 4w^18 x^18.