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