Question
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Answer
La respuesta es \( \frac{1}{1600} \) o \( 0.000625 \).
Solution
Calculate or simplify the expression \( (4^{-3})*(5^{-2}) \).
Calculate the value by following steps:
- step0: Calculate:
\(\left(4^{-3}\right)\left(5^{-2}\right)\)
- step1: Evaluate:
\(4^{-3}\times 5^{-2}\)
- step2: Rewrite the expression:
\(\frac{1}{4^{3}}\times \frac{1}{5^{2}}\)
- step3: Multiply the fractions:
\(\frac{1}{4^{3}\times 5^{2}}\)
- step4: Multiply:
\(\frac{1}{1600}\)
La expresión \( \left(4^{-3}\right)\left(5^{-2}\right) \) se simplifica a \( \frac{1}{1600} \) o \( 0.000625 \).
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Simplify this solution Mind Expander
To simplify \( \left(4^{-3}\right)\left(5^{-2}\right) \), we first evaluate each term. The expression \( 4^{-3} \) can be rewritten as \( \frac{1}{4^3} = \frac{1}{64} \), and \( 5^{-2} \) can be rewritten as \( \frac{1}{5^2} = \frac{1}{25} \). Now multiply the two fractions together: \[ \left(4^{-3}\right)\left(5^{-2}\right) = \frac{1}{64} \times \frac{1}{25} = \frac{1}{1600} \] So, \( \left(4^{-3}\right)\left(5^{-2}\right) = \frac{1}{1600} \).
