Simplify. Express your answer using exponents.
(12c²d⁷)²
Submit
Simplify. Express your answer using exponents. (12c²d⁷)² Submit it should end only with words
Share
Lost your password? Please enter your email address. You will receive a link and will create a new password via email.
Please briefly explain why you feel this question should be reported.
Please briefly explain why you feel this answer should be reported.
Please briefly explain why you feel this user should be reported.
To simplify the expression ( (12c^2d^7)^2 ), you will apply the power of a product rule and the power of a power rule for exponents.
1. Use the power of a product rule: When you have a product raised to a power, you can distribute the exponent to each factor inside the parentheses.
[
(ab)^n = a^n cdot b^n
]
So, for our expression:
[
(12c^2d^7)^2 = 12^2 cdot (c^2)^2 cdot (d^7)^2
]
2. Calculate each part:
– ( 12^2 = 144 )
– ( (c^2)^2 = c^{2 cdot 2} = c^4 )
– ( (d^7)^2 = d^{7 cdot 2} = d^{14} )
3. Combine all parts together:
[
144c^4d^{14}
]
So, the simplified expression is ( 144c^4d^{14} ).
If you have any more questions or need further assistance, feel free to ask!