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Simplify. Express your answer using exponents. (11s^9t^7u^4)^2 Submit

Simplify. Express your answer using exponents.
(11s^9t^7u^4)^2
Submit

1 Answer

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Quizzma TeamApril 12, 2025

To simplify the expression ((11s^9t^7u^4)^2), you need to apply the exponent to each part inside the parentheses.

1. Apply the exponent to the coefficient (11):

[

11^2 = 121

]

2. Apply the exponent to each variable:

– For (s^9), the exponent is multiplied: ( (s^9)^2 = s^{9 cdot 2} = s^{18} )

– For (t^7), similarly: ( (t^7)^2 = t^{7 cdot 2} = t^{14} )

– For (u^4): ( (u^4)^2 = u^{4 cdot 2} = u^{8} )

3. Combine all the parts:

[

(11s^9t^7u^4)^2 = 121s^{18}t^{14}u^8

]

So, the simplified expression is:

[

121s^{18}t^{14}u^8

]

Feel free to ask if you have more questions about this topic!