Question
(1) Simplify. Express your answer using positive exponents. \( \frac{\left(8 m^{-1}\right)\left(2 m^{\circ}\right)}{m} \)
Ask by Craig Morgan. in the United States
Mar 08,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
The simplified expression is \( \frac{16}{m^{2}} \).
Solution
Calculate or simplify the expression \( (8*m^(-1))*(2*m^(0))/m \).
Simplify the expression by following steps:
- step0: Solution:
\(\frac{\left(8m^{-1}\right)\left(2m^{0}\right)}{m}\)
- step1: Remove the parentheses:
\(\frac{8m^{-1}\times 2m^{0}}{m}\)
- step2: Evaluate the power:
\(\frac{8m^{-1}\times 2\times 1}{m}\)
- step3: Calculate:
\(\frac{8m^{-1}\times 2}{m}\)
- step4: Multiply the terms:
\(\frac{16m^{-1}}{m}\)
- step5: Reduce the fraction:
\(\frac{16}{m^{2}}\)
The simplified expression is \( \frac{16}{m^{2}} \).
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Simplify this solution Mind Expander
To simplify \( \frac{\left(8 m^{-1}\right)\left(2 m^{\circ}\right)}{m} \), first, we multiply the values in the numerator: \( 8 \times 2 = 16 \) and combine the exponents of \( m \): \( m^{-1} \times m^{\circ} = m^{-1 + \circ} = m^{-1 + 0} = m^{-1} \) assuming \( \circ \) represents zero (other values like degrees won't fit the exponent context). Now our expression looks like \( \frac{16 m^{-1}}{m} = 16 m^{-1-1} = 16 m^{-2} \). To express this with positive exponents, we rewrite it as \( \frac{16}{m^2} \). So the final simplified expression is \( \frac{16}{m^2} \).
