Question
Write (9m)^4 without exponents.

Write (9m)^4 without exponents.

Ask by Pena Hamilton.
Mar 28,2025 01:55

Upstudy AI Solution

Tutor-Verified Answer

Answer

(9m)^4 without exponents is 6561m^4.

Answered by UpStudy AI and reviewed by a Professional Tutor

The Deep Dive

To write \( (9m)^{4} \) without exponents, you need to expand it. This means multiplying \( (9m) \) by itself four times: \( (9m)^{4} = (9m) \times (9m) \times (9m) \times (9m) \). Now, you can simplify it by multiplying the coefficients and the variables: \( 9 \times 9 \times 9 \times 9 = 6561 \) and \( m \times m \times m \times m = m^{4} \). So, \( (9m)^{4} = 6561m^{4} \). However, if you want it completely without exponents, you just form: \( 9 \times 9 \times 9 \times 9 \) (which is 6561), and \( m \times m \times m \times m \) (which you can't avoid using \( m \) raised to the 4th power). Therefore, the final answer is: \( 6561 \times m \times m \times m \times m \) or simply \( 6561m \, m \, m \, m \).

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