Question
The expression for $3^5$ with a negative exponent is _________.
✓
Answer
The expression for $3^5$ with a negative exponent is $\frac{1}{3}^{-5}$.
Solution:
Using law of exponents, $\text{a}^{-\text{m}}=\frac{1}{\text{a}^\text{m}}$[$\because$ a is non-zero integer]
$\therefore$ $3^5=\frac{1}{3}^{-5}$
Hence,
The expression for $3^5$ with a negative exponents is $\frac{1}{3}^{-5}$
Solution:
Using law of exponents, $\text{a}^{-\text{m}}=\frac{1}{\text{a}^\text{m}}$[$\because$ a is non-zero integer]
$\therefore$ $3^5=\frac{1}{3}^{-5}$
Hence,
The expression for $3^5$ with a negative exponents is $\frac{1}{3}^{-5}$
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