Question
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.
Solution
Calculate or simplify the expression \( (9m)^4 \).
Calculate or simplify the expression \( (9m)^4 \).
Simplify the expression by following steps:
- step0: Simplify:
\(\left(9m\right)^{4}\)
- step1: Use the properties of exponents:
\(9^{4}m^{4}\)
- step2: Evaluate the power:
\(6561m^{4}\)
The expression \( (9m)^4 \) without exponents is \( 6561m^4 \).
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Simplify this solution 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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